// Generated by etl_angletablegen on Aug 16 2002 at 17:01:22.
// The contents of these tables, and their current arrangement,
// may be considered public domain. You may use them in any way you see fit,
// no strings attached.

// Table resolution set to 13 bits.

#ifndef __ETL_FASTANGLE_TABLES__
#define __ETL_FASTANGLE_TABLES__

static const double _fastangle_sin_table_13[8192] = {
    0.000000000, 0.000766990, 0.001533980, 0.002300969, 0.003067957,
    0.003834943, 0.004601926, 0.005368907, 0.006135885, 0.006902859,
    0.007669829, 0.008436794, 0.009203755, 0.009970710, 0.010737659,
    0.011504602, 0.012271538, 0.013038467, 0.013805389, 0.014572302,
    0.015339206, 0.016106102, 0.016872988, 0.017639864, 0.018406730,
    0.019173585, 0.019940429, 0.020707261, 0.021474080, 0.022240887,
    0.023007681, 0.023774462, 0.024541229, 0.025307981, 0.026074718,
    0.026841440, 0.027608146, 0.028374836, 0.029141509, 0.029908165,
    0.030674803, 0.031441424, 0.032208025, 0.032974608, 0.033741172,
    0.034507716, 0.035274239, 0.036040742, 0.036807223, 0.037573683,
    0.038340120, 0.039106535, 0.039872928, 0.040639296, 0.041405641,
    0.042171961, 0.042938257, 0.043704527, 0.044470772, 0.045236990,
    0.046003182, 0.046769347, 0.047535484, 0.048301593, 0.049067674,
    0.049833726, 0.050599749, 0.051365742, 0.052131705, 0.052897637,
    0.053663538, 0.054429407, 0.055195244, 0.055961049, 0.056726821,
    0.057492560, 0.058258265, 0.059023935, 0.059789571, 0.060555171,
    0.061320736, 0.062086265, 0.062851758, 0.063617213, 0.064382631,
    0.065148011, 0.065913353, 0.066678656, 0.067443920, 0.068209144,
    0.068974328, 0.069739471, 0.070504573, 0.071269634, 0.072034653,
    0.072799630, 0.073564564, 0.074329454, 0.075094301, 0.075859103,
    0.076623861, 0.077388574, 0.078153242, 0.078917863, 0.079682438,
    0.080446966, 0.081211447, 0.081975880, 0.082740265, 0.083504601,
    0.084268888, 0.085033125, 0.085797312, 0.086561449, 0.087325535,
    0.088089570, 0.088853553, 0.089617483, 0.090381361, 0.091145185,
    0.091908956, 0.092672673, 0.093436336, 0.094199943, 0.094963495,
    0.095726991, 0.096490431, 0.097253814, 0.098017140, 0.098780409,
    0.099543619, 0.100306770, 0.101069863, 0.101832896, 0.102595869,
    0.103358782, 0.104121634, 0.104884425, 0.105647154, 0.106409821,
    0.107172425, 0.107934966, 0.108697444, 0.109459858, 0.110222207,
    0.110984492, 0.111746711, 0.112508865, 0.113270952, 0.114032973,
    0.114794927, 0.115556813, 0.116318631, 0.117080381, 0.117842062,
    0.118603673, 0.119365215, 0.120126686, 0.120888087, 0.121649417,
    0.122410675, 0.123171861, 0.123932975, 0.124694016, 0.125454983,
    0.126215877, 0.126976696, 0.127737441, 0.128498111, 0.129258705,
    0.130019223, 0.130779664, 0.131540029, 0.132300316, 0.133060525,
    0.133820656, 0.134580709, 0.135340682, 0.136100575, 0.136860389,
    0.137620122, 0.138379774, 0.139139344, 0.139898833, 0.140658239,
    0.141417563, 0.142176804, 0.142935960, 0.143695033, 0.144454021,
    0.145212925, 0.145971742, 0.146730474, 0.147489120, 0.148247679,
    0.149006151, 0.149764535, 0.150522831, 0.151281038, 0.152039156,
    0.152797185, 0.153555124, 0.154312973, 0.155070731, 0.155828398,
    0.156585973, 0.157343456, 0.158100846, 0.158858143, 0.159615347,
    0.160372457, 0.161129473, 0.161886394, 0.162643219, 0.163399949,
    0.164156583, 0.164913120, 0.165669561, 0.166425904, 0.167182148,
    0.167938295, 0.168694343, 0.169450291, 0.170206140, 0.170961889,
    0.171717537, 0.172473084, 0.173228530, 0.173983873, 0.174739115,
    0.175494253, 0.176249289, 0.177004220, 0.177759048, 0.178513771,
    0.179268389, 0.180022901, 0.180777308, 0.181531608, 0.182285802,
    0.183039888, 0.183793867, 0.184547737, 0.185301499, 0.186055152,
    0.186808695, 0.187562129, 0.188315452, 0.189068664, 0.189821765,
    0.190574755, 0.191327632, 0.192080397, 0.192833049, 0.193585587,
    0.194338012, 0.195090322, 0.195842517, 0.196594598, 0.197346562,
    0.198098411, 0.198850143, 0.199601758, 0.200353255, 0.201104635,
    0.201855896, 0.202607039, 0.203358062, 0.204108966, 0.204859750,
    0.205610413, 0.206360955, 0.207111376, 0.207861675, 0.208611852,
    0.209361906, 0.210111837, 0.210861644, 0.211611327, 0.212360886,
    0.213110320, 0.213859628, 0.214608811, 0.215357867, 0.216106797,
    0.216855600, 0.217604275, 0.218352822, 0.219101240, 0.219849530,
    0.220597690, 0.221345721, 0.222093621, 0.222841391, 0.223589029,
    0.224336536, 0.225083911, 0.225831154, 0.226578264, 0.227325240,
    0.228072083, 0.228818792, 0.229565366, 0.230311805, 0.231058108,
    0.231804276, 0.232550307, 0.233296201, 0.234041959, 0.234787578,
    0.235533059, 0.236278402, 0.237023606, 0.237768670, 0.238513595,
    0.239258379, 0.240003022, 0.240747525, 0.241491885, 0.242236104,
    0.242980180, 0.243724113, 0.244467903, 0.245211549, 0.245955050,
    0.246698407, 0.247441619, 0.248184685, 0.248927606, 0.249670380,
    0.250413007, 0.251155486, 0.251897818, 0.252640002, 0.253382037,
    0.254123923, 0.254865660, 0.255607246, 0.256348682, 0.257089968,
    0.257831102, 0.258572085, 0.259312915, 0.260053593, 0.260794118,
    0.261534489, 0.262274707, 0.263014770, 0.263754679, 0.264494432,
    0.265234030, 0.265973472, 0.266712757, 0.267451886, 0.268190857,
    0.268929670, 0.269668326, 0.270406822, 0.271145160, 0.271883337,
    0.272621355, 0.273359213, 0.274096910, 0.274834445, 0.275571819,
    0.276309031, 0.277046080, 0.277782967, 0.278519689, 0.279256248,
    0.279992643, 0.280728873, 0.281464938, 0.282200837, 0.282936570,
    0.283672137, 0.284407537, 0.285142770, 0.285877835, 0.286612731,
    0.287347460, 0.288082019, 0.288816408, 0.289550628, 0.290284677,
    0.291018556, 0.291752263, 0.292485799, 0.293219163, 0.293952354,
    0.294685372, 0.295418217, 0.296150888, 0.296883385, 0.297615707,
    0.298347855, 0.299079826, 0.299811622, 0.300543241, 0.301274684,
    0.302005949, 0.302737037, 0.303467947, 0.304198678, 0.304929230,
    0.305659602, 0.306389795, 0.307119808, 0.307849640, 0.308579291,
    0.309308760, 0.310038048, 0.310767153, 0.311496075, 0.312224814,
    0.312953369, 0.313681740, 0.314409927, 0.315137929, 0.315865745,
    0.316593376, 0.317320820, 0.318048077, 0.318775148, 0.319502031,
    0.320228726, 0.320955232, 0.321681550, 0.322407679, 0.323133618,
    0.323859367, 0.324584925, 0.325310292, 0.326035468, 0.326760452,
    0.327485244, 0.328209844, 0.328934250, 0.329658463, 0.330382481,
    0.331106306, 0.331829935, 0.332553370, 0.333276609, 0.333999651,
    0.334722498, 0.335445147, 0.336167599, 0.336889853, 0.337611909,
    0.338333767, 0.339055425, 0.339776884, 0.340498144, 0.341219202,
    0.341940060, 0.342660717, 0.343381173, 0.344101426, 0.344821477,
    0.345541325, 0.346260970, 0.346980411, 0.347699648, 0.348418680,
    0.349137508, 0.349856130, 0.350574546, 0.351292756, 0.352010759,
    0.352728556, 0.353446145, 0.354163525, 0.354880698, 0.355597662,
    0.356314416, 0.357030961, 0.357747296, 0.358463421, 0.359179334,
    0.359895037, 0.360610527, 0.361325806, 0.362040871, 0.362755724,
    0.363470364, 0.364184790, 0.364899001, 0.365612998, 0.366326780,
    0.367040346, 0.367753696, 0.368466830, 0.369179747, 0.369892447,
    0.370604930, 0.371317194, 0.372029240, 0.372741067, 0.373452675,
    0.374164063, 0.374875231, 0.375586178, 0.376296905, 0.377007410,
    0.377717694, 0.378427755, 0.379137593, 0.379847209, 0.380556601,
    0.381265769, 0.381974713, 0.382683432, 0.383391926, 0.384100195,
    0.384808238, 0.385516054, 0.386223643, 0.386931006, 0.387638140,
    0.388345047, 0.389051725, 0.389758174, 0.390464394, 0.391170384,
    0.391876144, 0.392581674, 0.393286973, 0.393992040, 0.394696876,
    0.395401479, 0.396105850, 0.396809987, 0.397513892, 0.398217562,
    0.398920998, 0.399624200, 0.400327166, 0.401029897, 0.401732392,
    0.402434651, 0.403136673, 0.403838458, 0.404540005, 0.405241314,
    0.405942385, 0.406643217, 0.407343810, 0.408044163, 0.408744276,
    0.409444149, 0.410143781, 0.410843171, 0.411542320, 0.412241227,
    0.412939891, 0.413638312, 0.414336490, 0.415034424, 0.415732115,
    0.416429560, 0.417126761, 0.417823716, 0.418520425, 0.419216888,
    0.419913105, 0.420609074, 0.421304797, 0.422000271, 0.422695497,
    0.423390474, 0.424085202, 0.424779681, 0.425473910, 0.426167889,
    0.426861617, 0.427555093, 0.428248319, 0.428941292, 0.429634013,
    0.430326481, 0.431018696, 0.431710658, 0.432402366, 0.433093819,
    0.433785017, 0.434475961, 0.435166648, 0.435857080, 0.436547255,
    0.437237174, 0.437926835, 0.438616239, 0.439305384, 0.439994271,
    0.440682900, 0.441371269, 0.442059378, 0.442747228, 0.443434816,
    0.444122145, 0.444809211, 0.445496017, 0.446182560, 0.446868840,
    0.447554858, 0.448240612, 0.448926103, 0.449611330, 0.450296292,
    0.450980989, 0.451665421, 0.452349587, 0.453033487, 0.453717121,
    0.454400488, 0.455083587, 0.455766419, 0.456448982, 0.457131277,
    0.457813304, 0.458495060, 0.459176548, 0.459857765, 0.460538711,
    0.461219386, 0.461899791, 0.462579923, 0.463259784, 0.463939371,
    0.464618686, 0.465297728, 0.465976496, 0.466654990, 0.467333209,
    0.468011153, 0.468688822, 0.469366215, 0.470043332, 0.470720173,
    0.471396737, 0.472073023, 0.472749032, 0.473424763, 0.474100215,
    0.474775388, 0.475450282, 0.476124896, 0.476799230, 0.477473284,
    0.478147056, 0.478820548, 0.479493758, 0.480166685, 0.480839331,
    0.481511693, 0.482183772, 0.482855568, 0.483527079, 0.484198306,
    0.484869248, 0.485539905, 0.486210276, 0.486880361, 0.487550160,
    0.488219672, 0.488888897, 0.489557834, 0.490226483, 0.490894844,
    0.491562916, 0.492230699, 0.492898192, 0.493565396, 0.494232309,
    0.494898931, 0.495565262, 0.496231301, 0.496897049, 0.497562504,
    0.498227667, 0.498892537, 0.499557113, 0.500221395, 0.500885383,
    0.501549076, 0.502212474, 0.502875577, 0.503538384, 0.504200894,
    0.504863109, 0.505525026, 0.506186645, 0.506847967, 0.507508991,
    0.508169716, 0.508830143, 0.509490269, 0.510150097, 0.510809624,
    0.511468850, 0.512127776, 0.512786401, 0.513444723, 0.514102744,
    0.514760463, 0.515417878, 0.516074990, 0.516731799, 0.517388304,
    0.518044504, 0.518700400, 0.519355990, 0.520011275, 0.520666254,
    0.521320927, 0.521975293, 0.522629352, 0.523283103, 0.523936547,
    0.524589683, 0.525242510, 0.525895027, 0.526547236, 0.527199135,
    0.527850723, 0.528502002, 0.529152969, 0.529803625, 0.530453969,
    0.531104001, 0.531753721, 0.532403128, 0.533052222, 0.533701002,
    0.534349468, 0.534997620, 0.535645457, 0.536292979, 0.536940186,
    0.537587076, 0.538233651, 0.538879909, 0.539525849, 0.540171473,
    0.540816778, 0.541461766, 0.542106435, 0.542750785, 0.543394816,
    0.544038527, 0.544681918, 0.545324988, 0.545967738, 0.546610167,
    0.547252274, 0.547894059, 0.548535522, 0.549176662, 0.549817479,
    0.550457973, 0.551098143, 0.551737988, 0.552377509, 0.553016706,
    0.553655576, 0.554294121, 0.554932340, 0.555570233, 0.556207799,
    0.556845037, 0.557481948, 0.558118531, 0.558754786, 0.559390712,
    0.560026309, 0.560661576, 0.561296514, 0.561931121, 0.562565398,
    0.563199344, 0.563832959, 0.564466242, 0.565099192, 0.565731811,
    0.566364096, 0.566996049, 0.567627668, 0.568258953, 0.568889903,
    0.569520519, 0.570150800, 0.570780746, 0.571410356, 0.572039629,
    0.572668566, 0.573297167, 0.573925430, 0.574553355, 0.575180942,
    0.575808191, 0.576435102, 0.577061673, 0.577687905, 0.578313796,
    0.578939348, 0.579564559, 0.580189429, 0.580813958, 0.581438145,
    0.582061990, 0.582685493, 0.583308653, 0.583931470, 0.584553943,
    0.585176072, 0.585797857, 0.586419298, 0.587040394, 0.587661144,
    0.588281548, 0.588901607, 0.589521319, 0.590140684, 0.590759702,
    0.591378372, 0.591996695, 0.592614669, 0.593232295, 0.593849572,
    0.594466499, 0.595083077, 0.595699304, 0.596315182, 0.596930708,
    0.597545883, 0.598160707, 0.598775179, 0.599389298, 0.600003065,
    0.600616479, 0.601229540, 0.601842247, 0.602454600, 0.603066599,
    0.603678242, 0.604289531, 0.604900464, 0.605511041, 0.606121263,
    0.606731127, 0.607340635, 0.607949785, 0.608558578, 0.609167012,
    0.609775089, 0.610382806, 0.610990165, 0.611597164, 0.612203803,
    0.612810082, 0.613416001, 0.614021559, 0.614626756, 0.615231591,
    0.615836064, 0.616440175, 0.617043923, 0.617647308, 0.618250330,
    0.618852988, 0.619455282, 0.620057212, 0.620658777, 0.621259977,
    0.621860811, 0.622461279, 0.623061382, 0.623661118, 0.624260486,
    0.624859488, 0.625458122, 0.626056388, 0.626654286, 0.627251815,
    0.627848976, 0.628445767, 0.629042188, 0.629638239, 0.630233920,
    0.630829230, 0.631424169, 0.632018736, 0.632612932, 0.633206755,
    0.633800206, 0.634393284, 0.634985989, 0.635578320, 0.636170278,
    0.636761861, 0.637353070, 0.637943904, 0.638534362, 0.639124445,
    0.639714152, 0.640303482, 0.640892436, 0.641481013, 0.642069212,
    0.642657034, 0.643244478, 0.643831543, 0.644418229, 0.645004537,
    0.645590465, 0.646176013, 0.646761181, 0.647345969, 0.647930375,
    0.648514401, 0.649098045, 0.649681307, 0.650264187, 0.650846685,
    0.651428800, 0.652010531, 0.652591879, 0.653172843, 0.653753423,
    0.654333618, 0.654913428, 0.655492853, 0.656071892, 0.656650546,
    0.657228813, 0.657806693, 0.658384187, 0.658961293, 0.659538012,
    0.660114342, 0.660690284, 0.661265838, 0.661841002, 0.662415778,
    0.662990163, 0.663564159, 0.664137764, 0.664710978, 0.665283802,
    0.665856234, 0.666428274, 0.666999922, 0.667571178, 0.668142041,
    0.668712512, 0.669282588, 0.669852271, 0.670421560, 0.670990455,
    0.671558955, 0.672127060, 0.672694769, 0.673262083, 0.673829000,
    0.674395522, 0.674961646, 0.675527374, 0.676092704, 0.676657636,
    0.677222170, 0.677786306, 0.678350043, 0.678913381, 0.679476320,
    0.680038859, 0.680600998, 0.681162736, 0.681724074, 0.682285011,
    0.682845546, 0.683405680, 0.683965412, 0.684524741, 0.685083668,
    0.685642191, 0.686200312, 0.686758028, 0.687315341, 0.687872249,
    0.688428753, 0.688984851, 0.689540545, 0.690095832, 0.690650714,
    0.691205190, 0.691759258, 0.692312920, 0.692866175, 0.693419022,
    0.693971461, 0.694523492, 0.695075114, 0.695626327, 0.696177131,
    0.696727526, 0.697277511, 0.697827085, 0.698376249, 0.698925003,
    0.699473345, 0.700021275, 0.700568794, 0.701115901, 0.701662595,
    0.702208876, 0.702754744, 0.703300199, 0.703845241, 0.704389868,
    0.704934080, 0.705477878, 0.706021261, 0.706564229, 0.707106781,
    0.707648917, 0.708190637, 0.708731940, 0.709272826, 0.709813295,
    0.710353347, 0.710892980, 0.711432196, 0.711970993, 0.712509371,
    0.713047329, 0.713584869, 0.714121988, 0.714658688, 0.715194967,
    0.715730825, 0.716266263, 0.716801279, 0.717335873, 0.717870045,
    0.718403795, 0.718937122, 0.719470027, 0.720002508, 0.720534566,
    0.721066199, 0.721597409, 0.722128194, 0.722658554, 0.723188489,
    0.723717999, 0.724247083, 0.724775741, 0.725303972, 0.725831777,
    0.726359155, 0.726886106, 0.727412629, 0.727938724, 0.728464390,
    0.728989629, 0.729514438, 0.730038818, 0.730562769, 0.731086290,
    0.731609381, 0.732132042, 0.732654272, 0.733176071, 0.733697438,
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    -0.070504573, -0.069739471, -0.068974328, -0.068209144, -0.067443920,
    -0.066678656, -0.065913353, -0.065148011, -0.064382631, -0.063617213,
    -0.062851758, -0.062086265, -0.061320736, -0.060555171, -0.059789571,
    -0.059023935, -0.058258265, -0.057492560, -0.056726821, -0.055961049,
    -0.055195244, -0.054429407, -0.053663538, -0.052897637, -0.052131705,
    -0.051365742, -0.050599749, -0.049833726, -0.049067674, -0.048301593,
    -0.047535484, -0.046769347, -0.046003182, -0.045236990, -0.044470772,
    -0.043704527, -0.042938257, -0.042171961, -0.041405641, -0.040639296,
    -0.039872928, -0.039106535, -0.038340120, -0.037573683, -0.036807223,
    -0.036040742, -0.035274239, -0.034507716, -0.033741172, -0.032974608,
    -0.032208025, -0.031441424, -0.030674803, -0.029908165, -0.029141509,
    -0.028374836, -0.027608146, -0.026841440, -0.026074718, -0.025307981,
    -0.024541229, -0.023774462, -0.023007681, -0.022240887, -0.021474080,
    -0.020707261, -0.019940429, -0.019173585, -0.018406730, -0.017639864,
    -0.016872988, -0.016106102, -0.015339206, -0.014572302, -0.013805389,
    -0.013038467, -0.012271538, -0.011504602, -0.010737659, -0.009970710,
    -0.009203755, -0.008436794, -0.007669829, -0.006902859, -0.006135885,
    -0.005368907, -0.004601926, -0.003834943, -0.003067957, -0.002300969,
    -0.001533980, -0.000766990,
}; // END of _fastangle_sin_table_13[8192]

static const int _fastangle_asin_table_13[8192] = {
    -2047, -2018, -2006, -1997, -1989, -1983, -1976, -1971, -1965, -1961,
    -1956, -1951, -1947, -1943, -1939, -1935, -1932, -1928, -1925, -1921,
    -1918, -1915, -1912, -1909, -1906, -1903, -1900, -1897, -1894, -1892,
    -1889, -1886, -1884, -1881, -1879, -1876, -1874, -1872, -1869, -1867,
    -1865, -1862, -1860, -1858, -1856, -1854, -1851, -1849, -1847, -1845,
    -1843, -1841, -1839, -1837, -1835, -1833, -1831, -1829, -1827, -1825,
    -1824, -1822, -1820, -1818, -1816, -1814, -1813, -1811, -1809, -1807,
    -1806, -1804, -1802, -1800, -1799, -1797, -1795, -1794, -1792, -1791,
    -1789, -1787, -1786, -1784, -1782, -1781, -1779, -1778, -1776, -1775,
    -1773, -1772, -1770, -1769, -1767, -1766, -1764, -1763, -1761, -1760,
    -1758, -1757, -1755, -1754, -1753, -1751, -1750, -1748, -1747, -1746,
    -1744, -1743, -1741, -1740, -1739, -1737, -1736, -1735, -1733, -1732,
    -1731, -1729, -1728, -1727, -1725, -1724, -1723, -1721, -1720, -1719,
    -1718, -1716, -1715, -1714, -1713, -1711, -1710, -1709, -1708, -1706,
    -1705, -1704, -1703, -1701, -1700, -1699, -1698, -1697, -1695, -1694,
    -1693, -1692, -1691, -1689, -1688, -1687, -1686, -1685, -1684, -1683,
    -1681, -1680, -1679, -1678, -1677, -1676, -1675, -1673, -1672, -1671,
    -1670, -1669, -1668, -1667, -1666, -1664, -1663, -1662, -1661, -1660,
    -1659, -1658, -1657, -1656, -1655, -1654, -1653, -1651, -1650, -1649,
    -1648, -1647, -1646, -1645, -1644, -1643, -1642, -1641, -1640, -1639,
    -1638, -1637, -1636, -1635, -1634, -1633, -1632, -1631, -1630, -1629,
    -1628, -1627, -1626, -1625, -1624, -1623, -1622, -1621, -1620, -1619,
    -1618, -1617, -1616, -1615, -1614, -1613, -1612, -1611, -1610, -1609,
    -1608, -1607, -1606, -1605, -1604, -1603, -1602, -1601, -1600, -1599,
    -1598, -1597, -1597, -1596, -1595, -1594, -1593, -1592, -1591, -1590,
    -1589, -1588, -1587, -1586, -1585, -1584, -1584, -1583, -1582, -1581,
    -1580, -1579, -1578, -1577, -1576, -1575, -1575, -1574, -1573, -1572,
    -1571, -1570, -1569, -1568, -1567, -1566, -1566, -1565, -1564, -1563,
    -1562, -1561, -1560, -1559, -1559, -1558, -1557, -1556, -1555, -1554,
    -1553, -1553, -1552, -1551, -1550, -1549, -1548, -1547, -1547, -1546,
    -1545, -1544, -1543, -1542, -1541, -1541, -1540, -1539, -1538, -1537,
    -1536, -1536, -1535, -1534, -1533, -1532, -1531, -1531, -1530, -1529,
    -1528, -1527, -1527, -1526, -1525, -1524, -1523, -1522, -1522, -1521,
    -1520, -1519, -1518, -1518, -1517, -1516, -1515, -1514, -1514, -1513,
    -1512, -1511, -1510, -1510, -1509, -1508, -1507, -1506, -1506, -1505,
    -1504, -1503, -1502, -1502, -1501, -1500, -1499, -1499, -1498, -1497,
    -1496, -1495, -1495, -1494, -1493, -1492, -1492, -1491, -1490, -1489,
    -1489, -1488, -1487, -1486, -1485, -1485, -1484, -1483, -1482, -1482,
    -1481, -1480, -1479, -1479, -1478, -1477, -1476, -1476, -1475, -1474,
    -1473, -1473, -1472, -1471, -1470, -1470, -1469, -1468, -1467, -1467,
    -1466, -1465, -1464, -1464, -1463, -1462, -1462, -1461, -1460, -1459,
    -1459, -1458, -1457, -1456, -1456, -1455, -1454, -1454, -1453, -1452,
    -1451, -1451, -1450, -1449, -1448, -1448, -1447, -1446, -1446, -1445,
    -1444, -1443, -1443, -1442, -1441, -1441, -1440, -1439, -1439, -1438,
    -1437, -1436, -1436, -1435, -1434, -1434, -1433, -1432, -1431, -1431,
    -1430, -1429, -1429, -1428, -1427, -1427, -1426, -1425, -1425, -1424,
    -1423, -1422, -1422, -1421, -1420, -1420, -1419, -1418, -1418, -1417,
    -1416, -1416, -1415, -1414, -1414, -1413, -1412, -1411, -1411, -1410,
    -1409, -1409, -1408, -1407, -1407, -1406, -1405, -1405, -1404, -1403,
    -1403, -1402, -1401, -1401, -1400, -1399, -1399, -1398, -1397, -1397,
    -1396, -1395, -1395, -1394, -1393, -1393, -1392, -1391, -1391, -1390,
    -1389, -1389, -1388, -1387, -1387, -1386, -1385, -1385, -1384, -1383,
    -1383, -1382, -1382, -1381, -1380, -1380, -1379, -1378, -1378, -1377,
    -1376, -1376, -1375, -1374, -1374, -1373, -1372, -1372, -1371, -1371,
    -1370, -1369, -1369, -1368, -1367, -1367, -1366, -1365, -1365, -1364,
    -1364, -1363, -1362, -1362, -1361, -1360, -1360, -1359, -1358, -1358,
    -1357, -1357, -1356, -1355, -1355, -1354, -1353, -1353, -1352, -1352,
    -1351, -1350, -1350, -1349, -1348, -1348, -1347, -1347, -1346, -1345,
    -1345, -1344, -1343, -1343, -1342, -1342, -1341, -1340, -1340, -1339,
    -1338, -1338, -1337, -1337, -1336, -1335, -1335, -1334, -1334, -1333,
    -1332, -1332, -1331, -1331, -1330, -1329, -1329, -1328, -1327, -1327,
    -1326, -1326, -1325, -1324, -1324, -1323, -1323, -1322, -1321, -1321,
    -1320, -1320, -1319, -1318, -1318, -1317, -1317, -1316, -1315, -1315,
    -1314, -1314, -1313, -1312, -1312, -1311, -1311, -1310, -1309, -1309,
    -1308, -1308, -1307, -1306, -1306, -1305, -1305, -1304, -1304, -1303,
    -1302, -1302, -1301, -1301, -1300, -1299, -1299, -1298, -1298, -1297,
    -1296, -1296, -1295, -1295, -1294, -1294, -1293, -1292, -1292, -1291,
    -1291, -1290, -1290, -1289, -1288, -1288, -1287, -1287, -1286, -1285,
    -1285, -1284, -1284, -1283, -1283, -1282, -1281, -1281, -1280, -1280,
    -1279, -1279, -1278, -1277, -1277, -1276, -1276, -1275, -1275, -1274,
    -1273, -1273, -1272, -1272, -1271, -1271, -1270, -1269, -1269, -1268,
    -1268, -1267, -1267, -1266, -1265, -1265, -1264, -1264, -1263, -1263,
    -1262, -1262, -1261, -1260, -1260, -1259, -1259, -1258, -1258, -1257,
    -1256, -1256, -1255, -1255, -1254, -1254, -1253, -1253, -1252, -1251,
    -1251, -1250, -1250, -1249, -1249, -1248, -1248, -1247, -1246, -1246,
    -1245, -1245, -1244, -1244, -1243, -1243, -1242, -1242, -1241, -1240,
    -1240, -1239, -1239, -1238, -1238, -1237, -1237, -1236, -1236, -1235,
    -1234, -1234, -1233, -1233, -1232, -1232, -1231, -1231, -1230, -1230,
    -1229, -1228, -1228, -1227, -1227, -1226, -1226, -1225, -1225, -1224,
    -1224, -1223, -1222, -1222, -1221, -1221, -1220, -1220, -1219, -1219,
    -1218, -1218, -1217, -1217, -1216, -1216, -1215, -1214, -1214, -1213,
    -1213, -1212, -1212, -1211, -1211, -1210, -1210, -1209, -1209, -1208,
    -1208, -1207, -1206, -1206, -1205, -1205, -1204, -1204, -1203, -1203,
    -1202, -1202, -1201, -1201, -1200, -1200, -1199, -1199, -1198, -1198,
    -1197, -1196, -1196, -1195, -1195, -1194, -1194, -1193, -1193, -1192,
    -1192, -1191, -1191, -1190, -1190, -1189, -1189, -1188, -1188, -1187,
    -1187, -1186, -1186, -1185, -1184, -1184, -1183, -1183, -1182, -1182,
    -1181, -1181, -1180, -1180, -1179, -1179, -1178, -1178, -1177, -1177,
    -1176, -1176, -1175, -1175, -1174, -1174, -1173, -1173, -1172, -1172,
    -1171, -1171, -1170, -1170, -1169, -1169, -1168, -1168, -1167, -1166,
    -1166, -1165, -1165, -1164, -1164, -1163, -1163, -1162, -1162, -1161,
    -1161, -1160, -1160, -1159, -1159, -1158, -1158, -1157, -1157, -1156,
    -1156, -1155, -1155, -1154, -1154, -1153, -1153, -1152, -1152, -1151,
    -1151, -1150, -1150, -1149, -1149, -1148, -1148, -1147, -1147, -1146,
    -1146, -1145, -1145, -1144, -1144, -1143, -1143, -1142, -1142, -1141,
    -1141, -1140, -1140, -1139, -1139, -1138, -1138, -1137, -1137, -1136,
    -1136, -1135, -1135, -1134, -1134, -1133, -1133, -1132, -1132, -1131,
    -1131, -1130, -1130, -1129, -1129, -1128, -1128, -1127, -1127, -1127,
    -1126, -1126, -1125, -1125, -1124, -1124, -1123, -1123, -1122, -1122,
    -1121, -1121, -1120, -1120, -1119, -1119, -1118, -1118, -1117, -1117,
    -1116, -1116, -1115, -1115, -1114, -1114, -1113, -1113, -1112, -1112,
    -1111, -1111, -1110, -1110, -1109, -1109, -1108, -1108, -1108, -1107,
    -1107, -1106, -1106, -1105, -1105, -1104, -1104, -1103, -1103, -1102,
    -1102, -1101, -1101, -1100, -1100, -1099, -1099, -1098, -1098, -1097,
    -1097, -1096, -1096, -1096, -1095, -1095, -1094, -1094, -1093, -1093,
    -1092, -1092, -1091, -1091, -1090, -1090, -1089, -1089, -1088, -1088,
    -1087, -1087, -1086, -1086, -1086, -1085, -1085, -1084, -1084, -1083,
    -1083, -1082, -1082, -1081, -1081, -1080, -1080, -1079, -1079, -1078,
    -1078, -1078, -1077, -1077, -1076, -1076, -1075, -1075, -1074, -1074,
    -1073, -1073, -1072, -1072, -1071, -1071, -1070, -1070, -1070, -1069,
    -1069, -1068, -1068, -1067, -1067, -1066, -1066, -1065, -1065, -1064,
    -1064, -1063, -1063, -1063, -1062, -1062, -1061, -1061, -1060, -1060,
    -1059, -1059, -1058, -1058, -1057, -1057, -1057, -1056, -1056, -1055,
    -1055, -1054, -1054, -1053, -1053, -1052, -1052, -1051, -1051, -1051,
    -1050, -1050, -1049, -1049, -1048, -1048, -1047, -1047, -1046, -1046,
    -1046, -1045, -1045, -1044, -1044, -1043, -1043, -1042, -1042, -1041,
    -1041, -1040, -1040, -1040, -1039, -1039, -1038, -1038, -1037, -1037,
    -1036, -1036, -1035, -1035, -1035, -1034, -1034, -1033, -1033, -1032,
    -1032, -1031, -1031, -1030, -1030, -1030, -1029, -1029, -1028, -1028,
    -1027, -1027, -1026, -1026, -1025, -1025, -1025, -1024, -1024, -1023,
    -1023, -1022, -1022, -1021, -1021, -1021, -1020, -1020, -1019, -1019,
    -1018, -1018, -1017, -1017, -1017, -1016, -1016, -1015, -1015, -1014,
    -1014, -1013, -1013, -1012, -1012, -1012, -1011, -1011, -1010, -1010,
    -1009, -1009, -1008, -1008, -1008, -1007, -1007, -1006, -1006, -1005,
    -1005, -1004, -1004, -1004, -1003, -1003, -1002, -1002, -1001, -1001,
    -1000, -1000, -1000, -999, -999, -998, -998, -997, -997, -996,
    -996, -996, -995, -995, -994, -994, -993, -993, -993, -992,
    -992, -991, -991, -990, -990, -989, -989, -989, -988, -988,
    -987, -987, -986, -986, -986, -985, -985, -984, -984, -983,
    -983, -982, -982, -982, -981, -981, -980, -980, -979, -979,
    -979, -978, -978, -977, -977, -976, -976, -975, -975, -975,
    -974, -974, -973, -973, -972, -972, -972, -971, -971, -970,
    -970, -969, -969, -969, -968, -968, -967, -967, -966, -966,
    -966, -965, -965, -964, -964, -963, -963, -962, -962, -962,
    -961, -961, -960, -960, -959, -959, -959, -958, -958, -957,
    -957, -956, -956, -956, -955, -955, -954, -954, -953, -953,
    -953, -952, -952, -951, -951, -950, -950, -950, -949, -949,
    -948, -948, -948, -947, -947, -946, -946, -945, -945, -945,
    -944, -944, -943, -943, -942, -942, -942, -941, -941, -940,
    -940, -939, -939, -939, -938, -938, -937, -937, -936, -936,
    -936, -935, -935, -934, -934, -934, -933, -933, -932, -932,
    -931, -931, -931, -930, -930, -929, -929, -928, -928, -928,
    -927, -927, -926, -926, -926, -925, -925, -924, -924, -923,
    -923, -923, -922, -922, -921, -921, -920, -920, -920, -919,
    -919, -918, -918, -918, -917, -917, -916, -916, -915, -915,
    -915, -914, -914, -913, -913, -913, -912, -912, -911, -911,
    -910, -910, -910, -909, -909, -908, -908, -908, -907, -907,
    -906, -906, -905, -905, -905, -904, -904, -903, -903, -903,
    -902, -902, -901, -901, -901, -900, -900, -899, -899, -898,
    -898, -898, -897, -897, -896, -896, -896, -895, -895, -894,
    -894, -893, -893, -893, -892, -892, -891, -891, -891, -890,
    -890, -889, -889, -889, -888, -888, -887, -887, -887, -886,
    -886, -885, -885, -884, -884, -884, -883, -883, -882, -882,
    -882, -881, -881, -880, -880, -880, -879, -879, -878, -878,
    -878, -877, -877, -876, -876, -875, -875, -875, -874, -874,
    -873, -873, -873, -872, -872, -871, -871, -871, -870, -870,
    -869, -869, -869, -868, -868, -867, -867, -867, -866, -866,
    -865, -865, -865, -864, -864, -863, -863, -863, -862, -862,
    -861, -861, -861, -860, -860, -859, -859, -858, -858, -858,
    -857, -857, -856, -856, -856, -855, -855, -854, -854, -854,
    -853, -853, -852, -852, -852, -851, -851, -850, -850, -850,
    -849, -849, -848, -848, -848, -847, -847, -846, -846, -846,
    -845, -845, -844, -844, -844, -843, -843, -842, -842, -842,
    -841, -841, -840, -840, -840, -839, -839, -838, -838, -838,
    -837, -837, -836, -836, -836, -835, -835, -834, -834, -834,
    -833, -833, -833, -832, -832, -831, -831, -831, -830, -830,
    -829, -829, -829, -828, -828, -827, -827, -827, -826, -826,
    -825, -825, -825, -824, -824, -823, -823, -823, -822, -822,
    -821, -821, -821, -820, -820, -819, -819, -819, -818, -818,
    -818, -817, -817, -816, -816, -816, -815, -815, -814, -814,
    -814, -813, -813, -812, -812, -812, -811, -811, -810, -810,
    -810, -809, -809, -808, -808, -808, -807, -807, -807, -806,
    -806, -805, -805, -805, -804, -804, -803, -803, -803, -802,
    -802, -801, -801, -801, -800, -800, -799, -799, -799, -798,
    -798, -798, -797, -797, -796, -796, -796, -795, -795, -794,
    -794, -794, -793, -793, -793, -792, -792, -791, -791, -791,
    -790, -790, -789, -789, -789, -788, -788, -787, -787, -787,
    -786, -786, -786, -785, -785, -784, -784, -784, -783, -783,
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    43, 43, 43, 44, 44, 44, 45, 45, 45, 46,
    46, 46, 47, 47, 47, 48, 48, 48, 49, 49,
    49, 50, 50, 50, 50, 51, 51, 51, 52, 52,
    52, 53, 53, 53, 54, 54, 54, 55, 55, 55,
    56, 56, 56, 57, 57, 57, 57, 58, 58, 58,
    59, 59, 59, 60, 60, 60, 61, 61, 61, 62,
    62, 62, 63, 63, 63, 64, 64, 64, 64, 65,
    65, 65, 66, 66, 66, 67, 67, 67, 68, 68,
    68, 69, 69, 69, 70, 70, 70, 71, 71, 71,
    72, 72, 72, 72, 73, 73, 73, 74, 74, 74,
    75, 75, 75, 76, 76, 76, 77, 77, 77, 78,
    78, 78, 79, 79, 79, 79, 80, 80, 80, 81,
    81, 81, 82, 82, 82, 83, 83, 83, 84, 84,
    84, 85, 85, 85, 86, 86, 86, 86, 87, 87,
    87, 88, 88, 88, 89, 89, 89, 90, 90, 90,
    91, 91, 91, 92, 92, 92, 93, 93, 93, 94,
    94, 94, 94, 95, 95, 95, 96, 96, 96, 97,
    97, 97, 98, 98, 98, 99, 99, 99, 100, 100,
    100, 101, 101, 101, 101, 102, 102, 102, 103, 103,
    103, 104, 104, 104, 105, 105, 105, 106, 106, 106,
    107, 107, 107, 108, 108, 108, 109, 109, 109, 109,
    110, 110, 110, 111, 111, 111, 112, 112, 112, 113,
    113, 113, 114, 114, 114, 115, 115, 115, 116, 116,
    116, 117, 117, 117, 117, 118, 118, 118, 119, 119,
    119, 120, 120, 120, 121, 121, 121, 122, 122, 122,
    123, 123, 123, 124, 124, 124, 125, 125, 125, 125,
    126, 126, 126, 127, 127, 127, 128, 128, 128, 129,
    129, 129, 130, 130, 130, 131, 131, 131, 132, 132,
    132, 133, 133, 133, 133, 134, 134, 134, 135, 135,
    135, 136, 136, 136, 137, 137, 137, 138, 138, 138,
    139, 139, 139, 140, 140, 140, 141, 141, 141, 141,
    142, 142, 142, 143, 143, 143, 144, 144, 144, 145,
    145, 145, 146, 146, 146, 147, 147, 147, 148, 148,
    148, 149, 149, 149, 149, 150, 150, 150, 151, 151,
    151, 152, 152, 152, 153, 153, 153, 154, 154, 154,
    155, 155, 155, 156, 156, 156, 157, 157, 157, 157,
    158, 158, 158, 159, 159, 159, 160, 160, 160, 161,
    161, 161, 162, 162, 162, 163, 163, 163, 164, 164,
    164, 165, 165, 165, 166, 166, 166, 166, 167, 167,
    167, 168, 168, 168, 169, 169, 169, 170, 170, 170,
    171, 171, 171, 172, 172, 172, 173, 173, 173, 174,
    174, 174, 174, 175, 175, 175, 176, 176, 176, 177,
    177, 177, 178, 178, 178, 179, 179, 179, 180, 180,
    180, 181, 181, 181, 182, 182, 182, 183, 183, 183,
    183, 184, 184, 184, 185, 185, 185, 186, 186, 186,
    187, 187, 187, 188, 188, 188, 189, 189, 189, 190,
    190, 190, 191, 191, 191, 192, 192, 192, 193, 193,
    193, 193, 194, 194, 194, 195, 195, 195, 196, 196,
    196, 197, 197, 197, 198, 198, 198, 199, 199, 199,
    200, 200, 200, 201, 201, 201, 202, 202, 202, 202,
    203, 203, 203, 204, 204, 204, 205, 205, 205, 206,
    206, 206, 207, 207, 207, 208, 208, 208, 209, 209,
    209, 210, 210, 210, 211, 211, 211, 212, 212, 212,
    212, 213, 213, 213, 214, 214, 214, 215, 215, 215,
    216, 216, 216, 217, 217, 217, 218, 218, 218, 219,
    219, 219, 220, 220, 220, 221, 221, 221, 222, 222,
    222, 222, 223, 223, 223, 224, 224, 224, 225, 225,
    225, 226, 226, 226, 227, 227, 227, 228, 228, 228,
    229, 229, 229, 230, 230, 230, 231, 231, 231, 232,
    232, 232, 233, 233, 233, 233, 234, 234, 234, 235,
    235, 235, 236, 236, 236, 237, 237, 237, 238, 238,
    238, 239, 239, 239, 240, 240, 240, 241, 241, 241,
    242, 242, 242, 243, 243, 243, 244, 244, 244, 244,
    245, 245, 245, 246, 246, 246, 247, 247, 247, 248,
    248, 248, 249, 249, 249, 250, 250, 250, 251, 251,
    251, 252, 252, 252, 253, 253, 253, 254, 254, 254,
    255, 255, 255, 256, 256, 256, 256, 257, 257, 257,
    258, 258, 258, 259, 259, 259, 260, 260, 260, 261,
    261, 261, 262, 262, 262, 263, 263, 263, 264, 264,
    264, 265, 265, 265, 266, 266, 266, 267, 267, 267,
    268, 268, 268, 269, 269, 269, 269, 270, 270, 270,
    271, 271, 271, 272, 272, 272, 273, 273, 273, 274,
    274, 274, 275, 275, 275, 276, 276, 276, 277, 277,
    277, 278, 278, 278, 279, 279, 279, 280, 280, 280,
    281, 281, 281, 282, 282, 282, 283, 283, 283, 283,
    284, 284, 284, 285, 285, 285, 286, 286, 286, 287,
    287, 287, 288, 288, 288, 289, 289, 289, 290, 290,
    290, 291, 291, 291, 292, 292, 292, 293, 293, 293,
    294, 294, 294, 295, 295, 295, 296, 296, 296, 297,
    297, 297, 298, 298, 298, 299, 299, 299, 299, 300,
    300, 300, 301, 301, 301, 302, 302, 302, 303, 303,
    303, 304, 304, 304, 305, 305, 305, 306, 306, 306,
    307, 307, 307, 308, 308, 308, 309, 309, 309, 310,
    310, 310, 311, 311, 311, 312, 312, 312, 313, 313,
    313, 314, 314, 314, 315, 315, 315, 316, 316, 316,
    317, 317, 317, 317, 318, 318, 318, 319, 319, 319,
    320, 320, 320, 321, 321, 321, 322, 322, 322, 323,
    323, 323, 324, 324, 324, 325, 325, 325, 326, 326,
    326, 327, 327, 327, 328, 328, 328, 329, 329, 329,
    330, 330, 330, 331, 331, 331, 332, 332, 332, 333,
    333, 333, 334, 334, 334, 335, 335, 335, 336, 336,
    336, 337, 337, 337, 338, 338, 338, 339, 339, 339,
    340, 340, 340, 341, 341, 341, 342, 342, 342, 342,
    343, 343, 343, 344, 344, 344, 345, 345, 345, 346,
    346, 346, 347, 347, 347, 348, 348, 348, 349, 349,
    349, 350, 350, 350, 351, 351, 351, 352, 352, 352,
    353, 353, 353, 354, 354, 354, 355, 355, 355, 356,
    356, 356, 357, 357, 357, 358, 358, 358, 359, 359,
    359, 360, 360, 360, 361, 361, 361, 362, 362, 362,
    363, 363, 363, 364, 364, 364, 365, 365, 365, 366,
    366, 366, 367, 367, 367, 368, 368, 368, 369, 369,
    369, 370, 370, 370, 371, 371, 371, 372, 372, 372,
    373, 373, 373, 374, 374, 374, 375, 375, 375, 376,
    376, 376, 377, 377, 377, 378, 378, 378, 379, 379,
    379, 380, 380, 380, 381, 381, 381, 382, 382, 382,
    383, 383, 383, 384, 384, 384, 385, 385, 385, 386,
    386, 386, 387, 387, 387, 388, 388, 388, 389, 389,
    389, 390, 390, 390, 391, 391, 391, 392, 392, 392,
    393, 393, 393, 394, 394, 394, 395, 395, 395, 396,
    396, 396, 397, 397, 397, 398, 398, 398, 399, 399,
    399, 400, 400, 400, 401, 401, 401, 402, 402, 402,
    403, 403, 403, 404, 404, 404, 405, 405, 405, 406,
    406, 406, 407, 407, 407, 408, 408, 408, 409, 409,
    409, 410, 410, 410, 411, 411, 411, 412, 412, 412,
    413, 413, 413, 414, 414, 414, 415, 415, 415, 416,
    416, 416, 417, 417, 417, 418, 418, 418, 419, 419,
    419, 420, 420, 420, 421, 421, 421, 422, 422, 422,
    423, 423, 423, 424, 424, 424, 425, 425, 425, 426,
    426, 426, 427, 427, 427, 428, 428, 428, 429, 429,
    429, 430, 430, 430, 431, 431, 431, 432, 432, 432,
    433, 433, 433, 434, 434, 434, 435, 435, 435, 436,
    436, 436, 437, 437, 437, 438, 438, 438, 439, 439,
    439, 440, 440, 440, 441, 441, 442, 442, 442, 443,
    443, 443, 444, 444, 444, 445, 445, 445, 446, 446,
    446, 447, 447, 447, 448, 448, 448, 449, 449, 449,
    450, 450, 450, 451, 451, 451, 452, 452, 452, 453,
    453, 453, 454, 454, 454, 455, 455, 455, 456, 456,
    456, 457, 457, 457, 458, 458, 458, 459, 459, 459,
    460, 460, 460, 461, 461, 461, 462, 462, 462, 463,
    463, 464, 464, 464, 465, 465, 465, 466, 466, 466,
    467, 467, 467, 468, 468, 468, 469, 469, 469, 470,
    470, 470, 471, 471, 471, 472, 472, 472, 473, 473,
    473, 474, 474, 474, 475, 475, 475, 476, 476, 476,
    477, 477, 477, 478, 478, 478, 479, 479, 480, 480,
    480, 481, 481, 481, 482, 482, 482, 483, 483, 483,
    484, 484, 484, 485, 485, 485, 486, 486, 486, 487,
    487, 487, 488, 488, 488, 489, 489, 489, 490, 490,
    490, 491, 491, 491, 492, 492, 492, 493, 493, 494,
    494, 494, 495, 495, 495, 496, 496, 496, 497, 497,
    497, 498, 498, 498, 499, 499, 499, 500, 500, 500,
    501, 501, 501, 502, 502, 502, 503, 503, 503, 504,
    504, 505, 505, 505, 506, 506, 506, 507, 507, 507,
    508, 508, 508, 509, 509, 509, 510, 510, 510, 511,
    511, 511, 512, 512, 512, 513, 513, 513, 514, 514,
    514, 515, 515, 516, 516, 516, 517, 517, 517, 518,
    518, 518, 519, 519, 519, 520, 520, 520, 521, 521,
    521, 522, 522, 522, 523, 523, 523, 524, 524, 525,
    525, 525, 526, 526, 526, 527, 527, 527, 528, 528,
    528, 529, 529, 529, 530, 530, 530, 531, 531, 531,
    532, 532, 532, 533, 533, 534, 534, 534, 535, 535,
    535, 536, 536, 536, 537, 537, 537, 538, 538, 538,
    539, 539, 539, 540, 540, 540, 541, 541, 542, 542,
    542, 543, 543, 543, 544, 544, 544, 545, 545, 545,
    546, 546, 546, 547, 547, 547, 548, 548, 548, 549,
    549, 550, 550, 550, 551, 551, 551, 552, 552, 552,
    553, 553, 553, 554, 554, 554, 555, 555, 555, 556,
    556, 557, 557, 557, 558, 558, 558, 559, 559, 559,
    560, 560, 560, 561, 561, 561, 562, 562, 562, 563,
    563, 564, 564, 564, 565, 565, 565, 566, 566, 566,
    567, 567, 567, 568, 568, 568, 569, 569, 569, 570,
    570, 571, 571, 571, 572, 572, 572, 573, 573, 573,
    574, 574, 574, 575, 575, 575, 576, 576, 577, 577,
    577, 578, 578, 578, 579, 579, 579, 580, 580, 580,
    581, 581, 581, 582, 582, 583, 583, 583, 584, 584,
    584, 585, 585, 585, 586, 586, 586, 587, 587, 587,
    588, 588, 589, 589, 589, 590, 590, 590, 591, 591,
    591, 592, 592, 592, 593, 593, 593, 594, 594, 595,
    595, 595, 596, 596, 596, 597, 597, 597, 598, 598,
    598, 599, 599, 600, 600, 600, 601, 601, 601, 602,
    602, 602, 603, 603, 603, 604, 604, 604, 605, 605,
    606, 606, 606, 607, 607, 607, 608, 608, 608, 609,
    609, 609, 610, 610, 611, 611, 611, 612, 612, 612,
    613, 613, 613, 614, 614, 614, 615, 615, 616, 616,
    616, 617, 617, 617, 618, 618, 618, 619, 619, 619,
    620, 620, 621, 621, 621, 622, 622, 622, 623, 623,
    623, 624, 624, 624, 625, 625, 626, 626, 626, 627,
    627, 627, 628, 628, 628, 629, 629, 630, 630, 630,
    631, 631, 631, 632, 632, 632, 633, 633, 633, 634,
    634, 635, 635, 635, 636, 636, 636, 637, 637, 637,
    638, 638, 639, 639, 639, 640, 640, 640, 641, 641,
    641, 642, 642, 642, 643, 643, 644, 644, 644, 645,
    645, 645, 646, 646, 646, 647, 647, 648, 648, 648,
    649, 649, 649, 650, 650, 650, 651, 651, 652, 652,
    652, 653, 653, 653, 654, 654, 654, 655, 655, 656,
    656, 656, 657, 657, 657, 658, 658, 658, 659, 659,
    660, 660, 660, 661, 661, 661, 662, 662, 662, 663,
    663, 664, 664, 664, 665, 665, 665, 666, 666, 666,
    667, 667, 668, 668, 668, 669, 669, 669, 670, 670,
    670, 671, 671, 672, 672, 672, 673, 673, 673, 674,
    674, 675, 675, 675, 676, 676, 676, 677, 677, 677,
    678, 678, 679, 679, 679, 680, 680, 680, 681, 681,
    681, 682, 682, 683, 683, 683, 684, 684, 684, 685,
    685, 686, 686, 686, 687, 687, 687, 688, 688, 688,
    689, 689, 690, 690, 690, 691, 691, 691, 692, 692,
    693, 693, 693, 694, 694, 694, 695, 695, 695, 696,
    696, 697, 697, 697, 698, 698, 698, 699, 699, 700,
    700, 700, 701, 701, 701, 702, 702, 703, 703, 703,
    704, 704, 704, 705, 705, 705, 706, 706, 707, 707,
    707, 708, 708, 708, 709, 709, 710, 710, 710, 711,
    711, 711, 712, 712, 713, 713, 713, 714, 714, 714,
    715, 715, 716, 716, 716, 717, 717, 717, 718, 718,
    719, 719, 719, 720, 720, 720, 721, 721, 722, 722,
    722, 723, 723, 723, 724, 724, 725, 725, 725, 726,
    726, 726, 727, 727, 728, 728, 728, 729, 729, 729,
    730, 730, 731, 731, 731, 732, 732, 732, 733, 733,
    734, 734, 734, 735, 735, 735, 736, 736, 737, 737,
    737, 738, 738, 738, 739, 739, 740, 740, 740, 741,
    741, 741, 742, 742, 743, 743, 743, 744, 744, 744,
    745, 745, 746, 746, 746, 747, 747, 747, 748, 748,
    749, 749, 749, 750, 750, 751, 751, 751, 752, 752,
    752, 753, 753, 754, 754, 754, 755, 755, 755, 756,
    756, 757, 757, 757, 758, 758, 759, 759, 759, 760,
    760, 760, 761, 761, 762, 762, 762, 763, 763, 763,
    764, 764, 765, 765, 765, 766, 766, 767, 767, 767,
    768, 768, 768, 769, 769, 770, 770, 770, 771, 771,
    772, 772, 772, 773, 773, 773, 774, 774, 775, 775,
    775, 776, 776, 777, 777, 777, 778, 778, 778, 779,
    779, 780, 780, 780, 781, 781, 782, 782, 782, 783,
    783, 783, 784, 784, 785, 785, 785, 786, 786, 787,
    787, 787, 788, 788, 788, 789, 789, 790, 790, 790,
    791, 791, 792, 792, 792, 793, 793, 794, 794, 794,
    795, 795, 795, 796, 796, 797, 797, 797, 798, 798,
    799, 799, 799, 800, 800, 800, 801, 801, 802, 802,
    802, 803, 803, 804, 804, 804, 805, 805, 806, 806,
    806, 807, 807, 808, 808, 808, 809, 809, 809, 810,
    810, 811, 811, 811, 812, 812, 813, 813, 813, 814,
    814, 815, 815, 815, 816, 816, 817, 817, 817, 818,
    818, 819, 819, 819, 820, 820, 820, 821, 821, 822,
    822, 822, 823, 823, 824, 824, 824, 825, 825, 826,
    826, 826, 827, 827, 828, 828, 828, 829, 829, 830,
    830, 830, 831, 831, 832, 832, 832, 833, 833, 834,
    834, 834, 835, 835, 835, 836, 836, 837, 837, 837,
    838, 838, 839, 839, 839, 840, 840, 841, 841, 841,
    842, 842, 843, 843, 843, 844, 844, 845, 845, 845,
    846, 846, 847, 847, 847, 848, 848, 849, 849, 849,
    850, 850, 851, 851, 851, 852, 852, 853, 853, 853,
    854, 854, 855, 855, 855, 856, 856, 857, 857, 857,
    858, 858, 859, 859, 859, 860, 860, 861, 861, 862,
    862, 862, 863, 863, 864, 864, 864, 865, 865, 866,
    866, 866, 867, 867, 868, 868, 868, 869, 869, 870,
    870, 870, 871, 871, 872, 872, 872, 873, 873, 874,
    874, 874, 875, 875, 876, 876, 876, 877, 877, 878,
    878, 879, 879, 879, 880, 880, 881, 881, 881, 882,
    882, 883, 883, 883, 884, 884, 885, 885, 885, 886,
    886, 887, 887, 888, 888, 888, 889, 889, 890, 890,
    890, 891, 891, 892, 892, 892, 893, 893, 894, 894,
    894, 895, 895, 896, 896, 897, 897, 897, 898, 898,
    899, 899, 899, 900, 900, 901, 901, 902, 902, 902,
    903, 903, 904, 904, 904, 905, 905, 906, 906, 906,
    907, 907, 908, 908, 909, 909, 909, 910, 910, 911,
    911, 911, 912, 912, 913, 913, 914, 914, 914, 915,
    915, 916, 916, 916, 917, 917, 918, 918, 919, 919,
    919, 920, 920, 921, 921, 921, 922, 922, 923, 923,
    924, 924, 924, 925, 925, 926, 926, 927, 927, 927,
    928, 928, 929, 929, 929, 930, 930, 931, 931, 932,
    932, 932, 933, 933, 934, 934, 935, 935, 935, 936,
    936, 937, 937, 937, 938, 938, 939, 939, 940, 940,
    940, 941, 941, 942, 942, 943, 943, 943, 944, 944,
    945, 945, 946, 946, 946, 947, 947, 948, 948, 949,
    949, 949, 950, 950, 951, 951, 951, 952, 952, 953,
    953, 954, 954, 954, 955, 955, 956, 956, 957, 957,
    957, 958, 958, 959, 959, 960, 960, 960, 961, 961,
    962, 962, 963, 963, 963, 964, 964, 965, 965, 966,
    966, 967, 967, 967, 968, 968, 969, 969, 970, 970,
    970, 971, 971, 972, 972, 973, 973, 973, 974, 974,
    975, 975, 976, 976, 976, 977, 977, 978, 978, 979,
    979, 980, 980, 980, 981, 981, 982, 982, 983, 983,
    983, 984, 984, 985, 985, 986, 986, 987, 987, 987,
    988, 988, 989, 989, 990, 990, 990, 991, 991, 992,
    992, 993, 993, 994, 994, 994, 995, 995, 996, 996,
    997, 997, 997, 998, 998, 999, 999, 1000, 1000, 1001,
    1001, 1001, 1002, 1002, 1003, 1003, 1004, 1004, 1005, 1005,
    1005, 1006, 1006, 1007, 1007, 1008, 1008, 1009, 1009, 1009,
    1010, 1010, 1011, 1011, 1012, 1012, 1013, 1013, 1013, 1014,
    1014, 1015, 1015, 1016, 1016, 1017, 1017, 1018, 1018, 1018,
    1019, 1019, 1020, 1020, 1021, 1021, 1022, 1022, 1022, 1023,
    1023, 1024, 1024, 1025, 1025, 1026, 1026, 1026, 1027, 1027,
    1028, 1028, 1029, 1029, 1030, 1030, 1031, 1031, 1031, 1032,
    1032, 1033, 1033, 1034, 1034, 1035, 1035, 1036, 1036, 1036,
    1037, 1037, 1038, 1038, 1039, 1039, 1040, 1040, 1041, 1041,
    1041, 1042, 1042, 1043, 1043, 1044, 1044, 1045, 1045, 1046,
    1046, 1047, 1047, 1047, 1048, 1048, 1049, 1049, 1050, 1050,
    1051, 1051, 1052, 1052, 1052, 1053, 1053, 1054, 1054, 1055,
    1055, 1056, 1056, 1057, 1057, 1058, 1058, 1058, 1059, 1059,
    1060, 1060, 1061, 1061, 1062, 1062, 1063, 1063, 1064, 1064,
    1064, 1065, 1065, 1066, 1066, 1067, 1067, 1068, 1068, 1069,
    1069, 1070, 1070, 1071, 1071, 1071, 1072, 1072, 1073, 1073,
    1074, 1074, 1075, 1075, 1076, 1076, 1077, 1077, 1078, 1078,
    1079, 1079, 1079, 1080, 1080, 1081, 1081, 1082, 1082, 1083,
    1083, 1084, 1084, 1085, 1085, 1086, 1086, 1087, 1087, 1087,
    1088, 1088, 1089, 1089, 1090, 1090, 1091, 1091, 1092, 1092,
    1093, 1093, 1094, 1094, 1095, 1095, 1096, 1096, 1097, 1097,
    1097, 1098, 1098, 1099, 1099, 1100, 1100, 1101, 1101, 1102,
    1102, 1103, 1103, 1104, 1104, 1105, 1105, 1106, 1106, 1107,
    1107, 1108, 1108, 1109, 1109, 1109, 1110, 1110, 1111, 1111,
    1112, 1112, 1113, 1113, 1114, 1114, 1115, 1115, 1116, 1116,
    1117, 1117, 1118, 1118, 1119, 1119, 1120, 1120, 1121, 1121,
    1122, 1122, 1123, 1123, 1124, 1124, 1125, 1125, 1126, 1126,
    1127, 1127, 1128, 1128, 1128, 1129, 1129, 1130, 1130, 1131,
    1131, 1132, 1132, 1133, 1133, 1134, 1134, 1135, 1135, 1136,
    1136, 1137, 1137, 1138, 1138, 1139, 1139, 1140, 1140, 1141,
    1141, 1142, 1142, 1143, 1143, 1144, 1144, 1145, 1145, 1146,
    1146, 1147, 1147, 1148, 1148, 1149, 1149, 1150, 1150, 1151,
    1151, 1152, 1152, 1153, 1153, 1154, 1154, 1155, 1155, 1156,
    1156, 1157, 1157, 1158, 1158, 1159, 1159, 1160, 1160, 1161,
    1161, 1162, 1162, 1163, 1163, 1164, 1164, 1165, 1165, 1166,
    1166, 1167, 1167, 1168, 1169, 1169, 1170, 1170, 1171, 1171,
    1172, 1172, 1173, 1173, 1174, 1174, 1175, 1175, 1176, 1176,
    1177, 1177, 1178, 1178, 1179, 1179, 1180, 1180, 1181, 1181,
    1182, 1182, 1183, 1183, 1184, 1184, 1185, 1185, 1186, 1187,
    1187, 1188, 1188, 1189, 1189, 1190, 1190, 1191, 1191, 1192,
    1192, 1193, 1193, 1194, 1194, 1195, 1195, 1196, 1196, 1197,
    1197, 1198, 1199, 1199, 1200, 1200, 1201, 1201, 1202, 1202,
    1203, 1203, 1204, 1204, 1205, 1205, 1206, 1206, 1207, 1207,
    1208, 1209, 1209, 1210, 1210, 1211, 1211, 1212, 1212, 1213,
    1213, 1214, 1214, 1215, 1215, 1216, 1217, 1217, 1218, 1218,
    1219, 1219, 1220, 1220, 1221, 1221, 1222, 1222, 1223, 1223,
    1224, 1225, 1225, 1226, 1226, 1227, 1227, 1228, 1228, 1229,
    1229, 1230, 1231, 1231, 1232, 1232, 1233, 1233, 1234, 1234,
    1235, 1235, 1236, 1237, 1237, 1238, 1238, 1239, 1239, 1240,
    1240, 1241, 1241, 1242, 1243, 1243, 1244, 1244, 1245, 1245,
    1246, 1246, 1247, 1247, 1248, 1249, 1249, 1250, 1250, 1251,
    1251, 1252, 1252, 1253, 1254, 1254, 1255, 1255, 1256, 1256,
    1257, 1257, 1258, 1259, 1259, 1260, 1260, 1261, 1261, 1262,
    1263, 1263, 1264, 1264, 1265, 1265, 1266, 1266, 1267, 1268,
    1268, 1269, 1269, 1270, 1270, 1271, 1272, 1272, 1273, 1273,
    1274, 1274, 1275, 1276, 1276, 1277, 1277, 1278, 1278, 1279,
    1280, 1280, 1281, 1281, 1282, 1282, 1283, 1284, 1284, 1285,
    1285, 1286, 1286, 1287, 1288, 1288, 1289, 1289, 1290, 1291,
    1291, 1292, 1292, 1293, 1293, 1294, 1295, 1295, 1296, 1296,
    1297, 1297, 1298, 1299, 1299, 1300, 1300, 1301, 1302, 1302,
    1303, 1303, 1304, 1305, 1305, 1306, 1306, 1307, 1307, 1308,
    1309, 1309, 1310, 1310, 1311, 1312, 1312, 1313, 1313, 1314,
    1315, 1315, 1316, 1316, 1317, 1318, 1318, 1319, 1319, 1320,
    1321, 1321, 1322, 1322, 1323, 1324, 1324, 1325, 1325, 1326,
    1327, 1327, 1328, 1328, 1329, 1330, 1330, 1331, 1332, 1332,
    1333, 1333, 1334, 1335, 1335, 1336, 1336, 1337, 1338, 1338,
    1339, 1339, 1340, 1341, 1341, 1342, 1343, 1343, 1344, 1344,
    1345, 1346, 1346, 1347, 1348, 1348, 1349, 1349, 1350, 1351,
    1351, 1352, 1353, 1353, 1354, 1354, 1355, 1356, 1356, 1357,
    1358, 1358, 1359, 1359, 1360, 1361, 1361, 1362, 1363, 1363,
    1364, 1365, 1365, 1366, 1366, 1367, 1368, 1368, 1369, 1370,
    1370, 1371, 1372, 1372, 1373, 1373, 1374, 1375, 1375, 1376,
    1377, 1377, 1378, 1379, 1379, 1380, 1381, 1381, 1382, 1383,
    1383, 1384, 1384, 1385, 1386, 1386, 1387, 1388, 1388, 1389,
    1390, 1390, 1391, 1392, 1392, 1393, 1394, 1394, 1395, 1396,
    1396, 1397, 1398, 1398, 1399, 1400, 1400, 1401, 1402, 1402,
    1403, 1404, 1404, 1405, 1406, 1406, 1407, 1408, 1408, 1409,
    1410, 1410, 1411, 1412, 1412, 1413, 1414, 1415, 1415, 1416,
    1417, 1417, 1418, 1419, 1419, 1420, 1421, 1421, 1422, 1423,
    1423, 1424, 1425, 1426, 1426, 1427, 1428, 1428, 1429, 1430,
    1430, 1431, 1432, 1432, 1433, 1434, 1435, 1435, 1436, 1437,
    1437, 1438, 1439, 1440, 1440, 1441, 1442, 1442, 1443, 1444,
    1444, 1445, 1446, 1447, 1447, 1448, 1449, 1449, 1450, 1451,
    1452, 1452, 1453, 1454, 1455, 1455, 1456, 1457, 1457, 1458,
    1459, 1460, 1460, 1461, 1462, 1463, 1463, 1464, 1465, 1465,
    1466, 1467, 1468, 1468, 1469, 1470, 1471, 1471, 1472, 1473,
    1474, 1474, 1475, 1476, 1477, 1477, 1478, 1479, 1480, 1480,
    1481, 1482, 1483, 1483, 1484, 1485, 1486, 1486, 1487, 1488,
    1489, 1490, 1490, 1491, 1492, 1493, 1493, 1494, 1495, 1496,
    1496, 1497, 1498, 1499, 1500, 1500, 1501, 1502, 1503, 1503,
    1504, 1505, 1506, 1507, 1507, 1508, 1509, 1510, 1511, 1511,
    1512, 1513, 1514, 1515, 1515, 1516, 1517, 1518, 1519, 1519,
    1520, 1521, 1522, 1523, 1523, 1524, 1525, 1526, 1527, 1528,
    1528, 1529, 1530, 1531, 1532, 1532, 1533, 1534, 1535, 1536,
    1537, 1537, 1538, 1539, 1540, 1541, 1542, 1542, 1543, 1544,
    1545, 1546, 1547, 1548, 1548, 1549, 1550, 1551, 1552, 1553,
    1554, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1560, 1561,
    1562, 1563, 1564, 1565, 1566, 1567, 1567, 1568, 1569, 1570,
    1571, 1572, 1573, 1574, 1575, 1576, 1576, 1577, 1578, 1579,
    1580, 1581, 1582, 1583, 1584, 1585, 1585, 1586, 1587, 1588,
    1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598,
    1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607,
    1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617,
    1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627,
    1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637,
    1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647,
    1648, 1649, 1650, 1651, 1652, 1654, 1655, 1656, 1657, 1658,
    1659, 1660, 1661, 1662, 1663, 1664, 1665, 1667, 1668, 1669,
    1670, 1671, 1672, 1673, 1674, 1676, 1677, 1678, 1679, 1680,
    1681, 1682, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1692,
    1693, 1694, 1695, 1696, 1698, 1699, 1700, 1701, 1702, 1704,
    1705, 1706, 1707, 1709, 1710, 1711, 1712, 1714, 1715, 1716,
    1717, 1719, 1720, 1721, 1722, 1724, 1725, 1726, 1728, 1729,
    1730, 1732, 1733, 1734, 1736, 1737, 1738, 1740, 1741, 1742,
    1744, 1745, 1747, 1748, 1749, 1751, 1752, 1754, 1755, 1756,
    1758, 1759, 1761, 1762, 1764, 1765, 1767, 1768, 1770, 1771,
    1773, 1774, 1776, 1777, 1779, 1780, 1782, 1783, 1785, 1787,
    1788, 1790, 1792, 1793, 1795, 1796, 1798, 1800, 1801, 1803,
    1805, 1807, 1808, 1810, 1812, 1814, 1815, 1817, 1819, 1821,
    1823, 1825, 1826, 1828, 1830, 1832, 1834, 1836, 1838, 1840,
    1842, 1844, 1846, 1848, 1850, 1852, 1855, 1857, 1859, 1861,
    1863, 1866, 1868, 1870, 1873, 1875, 1877, 1880, 1882, 1885,
    1887, 1890, 1893, 1895, 1898, 1901, 1904, 1907, 1910, 1913,
    1916, 1919, 1922, 1926, 1929, 1933, 1936, 1940, 1944, 1948,
    1952, 1957, 1962, 1966, 1972, 1977, 1984, 1990, 1998, 2007,
    2019, 2048,
}; // END of _fastangle_asin_table_13[8192]

static const double _fastangle_tan_table_13[8192] = {
    0.000000000, 0.000766991, 0.001533982, 0.002300975, 0.003067971,
    0.003834971, 0.004601975, 0.005368984, 0.006136000, 0.006903023,
    0.007670054, 0.008437095, 0.009204145, 0.009971206, 0.010738278,
    0.011505364, 0.012272462, 0.013039576, 0.013806704, 0.014573849,
    0.015341011, 0.016108191, 0.016875390, 0.017642609, 0.018409849,
    0.019177110, 0.019944394, 0.020711701, 0.021479033, 0.022246390,
    0.023013773, 0.023781184, 0.024548622, 0.025316089, 0.026083586,
    0.026851114, 0.027618673, 0.028386265, 0.029153891, 0.029921550,
    0.030689245, 0.031456976, 0.032224744, 0.032992550, 0.033760395,
    0.034528279, 0.035296205, 0.036064172, 0.036832181, 0.037600234,
    0.038368331, 0.039136473, 0.039904661, 0.040672897, 0.041441180,
    0.042209512, 0.042977894, 0.043746327, 0.044514811, 0.045283348,
    0.046051938, 0.046820582, 0.047589281, 0.048358037, 0.049126850,
    0.049895720, 0.050664650, 0.051433639, 0.052202689, 0.052971800,
    0.053740974, 0.054510212, 0.055279514, 0.056048880, 0.056818314,
    0.057587814, 0.058357382, 0.059127019, 0.059896726, 0.060666503,
    0.061436353, 0.062206274, 0.062976270, 0.063746339, 0.064516484,
    0.065286705, 0.066057004, 0.066827380, 0.067597835, 0.068368371,
    0.069138987, 0.069909684, 0.070680465, 0.071451329, 0.072222277,
    0.072993311, 0.073764432, 0.074535639, 0.075306935, 0.076078320,
    0.076849794, 0.077621360, 0.078393018, 0.079164768, 0.079936612,
    0.080708551, 0.081480586, 0.082252717, 0.083024945, 0.083797272,
    0.084569698, 0.085342224, 0.086114851, 0.086887581, 0.087660413,
    0.088433349, 0.089206391, 0.089979538, 0.090752791, 0.091526153,
    0.092299623, 0.093073202, 0.093846892, 0.094620693, 0.095394607,
    0.096168634, 0.096942775, 0.097717031, 0.098491403, 0.099265893,
    0.100040500, 0.100815226, 0.101590072, 0.102365039, 0.103140127,
    0.103915338, 0.104690673, 0.105466132, 0.106241716, 0.107017427,
    0.107793266, 0.108569232, 0.109345328, 0.110121554, 0.110897912,
    0.111674401, 0.112451023, 0.113227780, 0.114004671, 0.114781698,
    0.115558862, 0.116336164, 0.117113604, 0.117891184, 0.118668905,
    0.119446767, 0.120224772, 0.121002920, 0.121781213, 0.122559652,
    0.123338236, 0.124116968, 0.124895848, 0.125674878, 0.126454057,
    0.127233388, 0.128012871, 0.128792507, 0.129572297, 0.130352242,
    0.131132343, 0.131912601, 0.132693017, 0.133473592, 0.134254326,
    0.135035222, 0.135816279, 0.136597499, 0.137378882, 0.138160430,
    0.138942144, 0.139724025, 0.140506073, 0.141288290, 0.142070676,
    0.142853233, 0.143635961, 0.144418862, 0.145201936, 0.145985185,
    0.146768609, 0.147552210, 0.148335988, 0.149119944, 0.149904079,
    0.150688395, 0.151472893, 0.152257572, 0.153042435, 0.153827482,
    0.154612715, 0.155398133, 0.156183739, 0.156969533, 0.157755517,
    0.158541690, 0.159328055, 0.160114612, 0.160901362, 0.161688307,
    0.162475447, 0.163262782, 0.164050316, 0.164838047, 0.165625977,
    0.166414108, 0.167202440, 0.167990974, 0.168779712, 0.169568653,
    0.170357800, 0.171147153, 0.171936714, 0.172726482, 0.173516460,
    0.174306648, 0.175097048, 0.175887660, 0.176678485, 0.177469525,
    0.178260779, 0.179052251, 0.179843940, 0.180635847, 0.181427973,
    0.182220321, 0.183012889, 0.183805680, 0.184598695, 0.185391935,
    0.186185400, 0.186979091, 0.187773010, 0.188567158, 0.189361536,
    0.190156145, 0.190950985, 0.191746058, 0.192541365, 0.193336907,
    0.194132685, 0.194928700, 0.195724954, 0.196521446, 0.197318178,
    0.198115152, 0.198912367, 0.199709826, 0.200507530, 0.201305479,
    0.202103674, 0.202902117, 0.203700808, 0.204499749, 0.205298940,
    0.206098384, 0.206898080, 0.207698030, 0.208498234, 0.209298695,
    0.210099413, 0.210900389, 0.211701624, 0.212503119, 0.213304876,
    0.214106895, 0.214909178, 0.215711725, 0.216514537, 0.217317617,
    0.218120964, 0.218924579, 0.219728465, 0.220532622, 0.221337051,
    0.222141753, 0.222946729, 0.223751981, 0.224557509, 0.225363315,
    0.226169399, 0.226975763, 0.227782408, 0.228589335, 0.229396544,
    0.230204038, 0.231011817, 0.231819882, 0.232628235, 0.233436876,
    0.234245807, 0.235055029, 0.235864542, 0.236674348, 0.237484449,
    0.238294844, 0.239105536, 0.239916525, 0.240727813, 0.241539401,
    0.242351289, 0.243163479, 0.243975972, 0.244788769, 0.245601872,
    0.246415280, 0.247228997, 0.248043022, 0.248857357, 0.249672002,
    0.250486960, 0.251302231, 0.252117817, 0.252933717, 0.253749935,
    0.254566470, 0.255383324, 0.256200498, 0.257017994, 0.257835812,
    0.258653953, 0.259472419, 0.260291211, 0.261110330, 0.261929777,
    0.262749553, 0.263569660, 0.264390098, 0.265210870, 0.266031975,
    0.266853415, 0.267675192, 0.268497306, 0.269319759, 0.270142552,
    0.270965686, 0.271789161, 0.272612981, 0.273437145, 0.274261655,
    0.275086511, 0.275911716, 0.276737270, 0.277563175, 0.278389431,
    0.279216041, 0.280043004, 0.280870323, 0.281697998, 0.282526031,
    0.283354423, 0.284183175, 0.285012289, 0.285841765, 0.286671605,
    0.287501809, 0.288332380, 0.289163319, 0.289994626, 0.290826303,
    0.291658351, 0.292490772, 0.293323566, 0.294156735, 0.294990280,
    0.295824202, 0.296658503, 0.297493183, 0.298328244, 0.299163688,
    0.299999515, 0.300835727, 0.301672325, 0.302509310, 0.303346684,
    0.304184447, 0.305022601, 0.305861148, 0.306700088, 0.307539423,
    0.308379154, 0.309219282, 0.310059809, 0.310900736, 0.311742064,
    0.312583794, 0.313425928, 0.314268467, 0.315111412, 0.315954765,
    0.316798527, 0.317642699, 0.318487282, 0.319332278, 0.320177688,
    0.321023513, 0.321869755, 0.322716415, 0.323563494, 0.324410994,
    0.325258916, 0.326107260, 0.326956029, 0.327805224, 0.328654846,
    0.329504897, 0.330355377, 0.331206289, 0.332057633, 0.332909410,
    0.333761623, 0.334614272, 0.335467359, 0.336320885, 0.337174851,
    0.338029260, 0.338884111, 0.339739407, 0.340595149, 0.341451338,
    0.342307975, 0.343165063, 0.344022602, 0.344880593, 0.345739039,
    0.346597939, 0.347457297, 0.348317113, 0.349177388, 0.350038125,
    0.350899323, 0.351760985, 0.352623113, 0.353485706, 0.354348768,
    0.355212299, 0.356076301, 0.356940774, 0.357805721, 0.358671143,
    0.359537042, 0.360403417, 0.361270272, 0.362137608, 0.363005426,
    0.363873726, 0.364742512, 0.365611784, 0.366481544, 0.367351792,
    0.368222532, 0.369093763, 0.369965487, 0.370837707, 0.371710423,
    0.372583636, 0.373457349, 0.374331562, 0.375206278, 0.376081497,
    0.376957221, 0.377833452, 0.378710191, 0.379587439, 0.380465198,
    0.381343470, 0.382222255, 0.383101556, 0.383981374, 0.384861710,
    0.385742566, 0.386623944, 0.387505844, 0.388388269, 0.389271219,
    0.390154697, 0.391038704, 0.391923242, 0.392808311, 0.393693914,
    0.394580051, 0.395466726, 0.396353938, 0.397241690, 0.398129983,
    0.399018819, 0.399908199, 0.400798124, 0.401688597, 0.402579619,
    0.403471191, 0.404363316, 0.405255993, 0.406149226, 0.407043016,
    0.407937364, 0.408832271, 0.409727740, 0.410623772, 0.411520369,
    0.412417532, 0.413315262, 0.414213562, 0.415112433, 0.416011877,
    0.416911894, 0.417812488, 0.418713658, 0.419615408, 0.420517739,
    0.421420651, 0.422324148, 0.423228230, 0.424132899, 0.425038157,
    0.425944006, 0.426850446, 0.427757480, 0.428665110, 0.429573336,
    0.430482162, 0.431391587, 0.432301615, 0.433212246, 0.434123483,
    0.435035326, 0.435947779, 0.436860841, 0.437774516, 0.438688805,
    0.439603709, 0.440519230, 0.441435370, 0.442352131, 0.443269514,
    0.444187521, 0.445106154, 0.446025414, 0.446945303, 0.447865823,
    0.448786976, 0.449708763, 0.450631187, 0.451554248, 0.452477949,
    0.453402291, 0.454327276, 0.455252906, 0.456179183, 0.457106108,
    0.458033683, 0.458961911, 0.459890792, 0.460820328, 0.461750522,
    0.462681375, 0.463612889, 0.464545066, 0.465477907, 0.466411414,
    0.467345590, 0.468280435, 0.469215952, 0.470152143, 0.471089010,
    0.472026553, 0.472964776, 0.473903680, 0.474843266, 0.475783537,
    0.476724495, 0.477666140, 0.478608477, 0.479551505, 0.480495227,
    0.481439645, 0.482384761, 0.483330576, 0.484277093, 0.485224313,
    0.486172239, 0.487120872, 0.488070214, 0.489020267, 0.489971033,
    0.490922513, 0.491874711, 0.492827627, 0.493781264, 0.494735624,
    0.495690708, 0.496646518, 0.497603058, 0.498560327, 0.499518329,
    0.500477065, 0.501436538, 0.502396749, 0.503357700, 0.504319393,
    0.505281831, 0.506245015, 0.507208947, 0.508173630, 0.509139064,
    0.510105254, 0.511072199, 0.512039903, 0.513008367, 0.513977594,
    0.514947585, 0.515918342, 0.516889869, 0.517862165, 0.518835235,
    0.519809079, 0.520783700, 0.521759100, 0.522735281, 0.523712245,
    0.524689995, 0.525668531, 0.526647857, 0.527627974, 0.528608885,
    0.529590592, 0.530573097, 0.531556401, 0.532540508, 0.533525419,
    0.534511136, 0.535497662, 0.536484998, 0.537473148, 0.538462112,
    0.539451894, 0.540442495, 0.541433918, 0.542426164, 0.543419236,
    0.544413137, 0.545407868, 0.546403431, 0.547399830, 0.548397065,
    0.549395139, 0.550394056, 0.551393815, 0.552394421, 0.553395875,
    0.554398180, 0.555401337, 0.556405349, 0.557410219, 0.558415948,
    0.559422539, 0.560429994, 0.561438316, 0.562447507, 0.563457568,
    0.564468503, 0.565480314, 0.566493003, 0.567506572, 0.568521024,
    0.569536361, 0.570552585, 0.571569700, 0.572587706, 0.573606607,
    0.574626405, 0.575647102, 0.576668701, 0.577691204, 0.578714614,
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    -0.318487282, -0.317642699, -0.316798527, -0.315954765, -0.315111412,
    -0.314268467, -0.313425928, -0.312583794, -0.311742064, -0.310900736,
    -0.310059809, -0.309219282, -0.308379154, -0.307539423, -0.306700088,
    -0.305861148, -0.305022601, -0.304184447, -0.303346684, -0.302509310,
    -0.301672325, -0.300835727, -0.299999515, -0.299163688, -0.298328244,
    -0.297493183, -0.296658503, -0.295824202, -0.294990280, -0.294156735,
    -0.293323566, -0.292490772, -0.291658351, -0.290826303, -0.289994626,
    -0.289163319, -0.288332380, -0.287501809, -0.286671605, -0.285841765,
    -0.285012289, -0.284183175, -0.283354423, -0.282526031, -0.281697998,
    -0.280870323, -0.280043004, -0.279216041, -0.278389431, -0.277563175,
    -0.276737270, -0.275911716, -0.275086511, -0.274261655, -0.273437145,
    -0.272612981, -0.271789161, -0.270965686, -0.270142552, -0.269319759,
    -0.268497306, -0.267675192, -0.266853415, -0.266031975, -0.265210870,
    -0.264390098, -0.263569660, -0.262749553, -0.261929777, -0.261110330,
    -0.260291211, -0.259472419, -0.258653953, -0.257835812, -0.257017994,
    -0.256200498, -0.255383324, -0.254566470, -0.253749935, -0.252933717,
    -0.252117817, -0.251302231, -0.250486960, -0.249672002, -0.248857357,
    -0.248043022, -0.247228997, -0.246415280, -0.245601872, -0.244788769,
    -0.243975972, -0.243163479, -0.242351289, -0.241539401, -0.240727813,
    -0.239916525, -0.239105536, -0.238294844, -0.237484449, -0.236674348,
    -0.235864542, -0.235055029, -0.234245807, -0.233436876, -0.232628235,
    -0.231819882, -0.231011817, -0.230204038, -0.229396544, -0.228589335,
    -0.227782408, -0.226975763, -0.226169399, -0.225363315, -0.224557509,
    -0.223751981, -0.222946729, -0.222141753, -0.221337051, -0.220532622,
    -0.219728465, -0.218924579, -0.218120964, -0.217317617, -0.216514537,
    -0.215711725, -0.214909178, -0.214106895, -0.213304876, -0.212503119,
    -0.211701624, -0.210900389, -0.210099413, -0.209298695, -0.208498234,
    -0.207698030, -0.206898080, -0.206098384, -0.205298940, -0.204499749,
    -0.203700808, -0.202902117, -0.202103674, -0.201305479, -0.200507530,
    -0.199709826, -0.198912367, -0.198115152, -0.197318178, -0.196521446,
    -0.195724954, -0.194928700, -0.194132685, -0.193336907, -0.192541365,
    -0.191746058, -0.190950985, -0.190156145, -0.189361536, -0.188567158,
    -0.187773010, -0.186979091, -0.186185400, -0.185391935, -0.184598695,
    -0.183805680, -0.183012889, -0.182220321, -0.181427973, -0.180635847,
    -0.179843940, -0.179052251, -0.178260779, -0.177469525, -0.176678485,
    -0.175887660, -0.175097048, -0.174306648, -0.173516460, -0.172726482,
    -0.171936714, -0.171147153, -0.170357800, -0.169568653, -0.168779712,
    -0.167990974, -0.167202440, -0.166414108, -0.165625977, -0.164838047,
    -0.164050316, -0.163262782, -0.162475447, -0.161688307, -0.160901362,
    -0.160114612, -0.159328055, -0.158541690, -0.157755517, -0.156969533,
    -0.156183739, -0.155398133, -0.154612715, -0.153827482, -0.153042435,
    -0.152257572, -0.151472893, -0.150688395, -0.149904079, -0.149119944,
    -0.148335988, -0.147552210, -0.146768609, -0.145985185, -0.145201936,
    -0.144418862, -0.143635961, -0.142853233, -0.142070676, -0.141288290,
    -0.140506073, -0.139724025, -0.138942144, -0.138160430, -0.137378882,
    -0.136597499, -0.135816279, -0.135035222, -0.134254326, -0.133473592,
    -0.132693017, -0.131912601, -0.131132343, -0.130352242, -0.129572297,
    -0.128792507, -0.128012871, -0.127233388, -0.126454057, -0.125674878,
    -0.124895848, -0.124116968, -0.123338236, -0.122559652, -0.121781213,
    -0.121002920, -0.120224772, -0.119446767, -0.118668905, -0.117891184,
    -0.117113604, -0.116336164, -0.115558862, -0.114781698, -0.114004671,
    -0.113227780, -0.112451023, -0.111674401, -0.110897912, -0.110121554,
    -0.109345328, -0.108569232, -0.107793266, -0.107017427, -0.106241716,
    -0.105466132, -0.104690673, -0.103915338, -0.103140127, -0.102365039,
    -0.101590072, -0.100815226, -0.100040500, -0.099265893, -0.098491403,
    -0.097717031, -0.096942775, -0.096168634, -0.095394607, -0.094620693,
    -0.093846892, -0.093073202, -0.092299623, -0.091526153, -0.090752791,
    -0.089979538, -0.089206391, -0.088433349, -0.087660413, -0.086887581,
    -0.086114851, -0.085342224, -0.084569698, -0.083797272, -0.083024945,
    -0.082252717, -0.081480586, -0.080708551, -0.079936612, -0.079164768,
    -0.078393018, -0.077621360, -0.076849794, -0.076078320, -0.075306935,
    -0.074535639, -0.073764432, -0.072993311, -0.072222277, -0.071451329,
    -0.070680465, -0.069909684, -0.069138987, -0.068368371, -0.067597835,
    -0.066827380, -0.066057004, -0.065286705, -0.064516484, -0.063746339,
    -0.062976270, -0.062206274, -0.061436353, -0.060666503, -0.059896726,
    -0.059127019, -0.058357382, -0.057587814, -0.056818314, -0.056048880,
    -0.055279514, -0.054510212, -0.053740974, -0.052971800, -0.052202689,
    -0.051433639, -0.050664650, -0.049895720, -0.049126850, -0.048358037,
    -0.047589281, -0.046820582, -0.046051938, -0.045283348, -0.044514811,
    -0.043746327, -0.042977894, -0.042209512, -0.041441180, -0.040672897,
    -0.039904661, -0.039136473, -0.038368331, -0.037600234, -0.036832181,
    -0.036064172, -0.035296205, -0.034528279, -0.033760395, -0.032992550,
    -0.032224744, -0.031456976, -0.030689245, -0.029921550, -0.029153891,
    -0.028386265, -0.027618673, -0.026851114, -0.026083586, -0.025316089,
    -0.024548622, -0.023781184, -0.023013773, -0.022246390, -0.021479033,
    -0.020711701, -0.019944394, -0.019177110, -0.018409849, -0.017642609,
    -0.016875390, -0.016108191, -0.015341011, -0.014573849, -0.013806704,
    -0.013039576, -0.012272462, -0.011505364, -0.010738278, -0.009971206,
    -0.009204145, -0.008437095, -0.007670054, -0.006903023, -0.006136000,
    -0.005368984, -0.004601975, -0.003834971, -0.003067971, -0.002300975,
    -0.001533982, -0.000766991,
}; // END of _fastangle_tan_table_13[8192]

static const int _fastangle_atan_table_13[8192] = {
    -1023, -1023, -1023, -1023, -1022, -1022, -1022, -1022, -1022, -1022,
    -1021, -1021, -1021, -1021, -1021, -1021, -1020, -1020, -1020, -1020,
    -1020, -1020, -1019, -1019, -1019, -1019, -1019, -1019, -1019, -1018,
    -1018, -1018, -1018, -1018, -1018, -1017, -1017, -1017, -1017, -1017,
    -1017, -1016, -1016, -1016, -1016, -1016, -1016, -1015, -1015, -1015,
    -1015, -1015, -1015, -1015, -1014, -1014, -1014, -1014, -1014, -1014,
    -1013, -1013, -1013, -1013, -1013, -1013, -1012, -1012, -1012, -1012,
    -1012, -1012, -1011, -1011, -1011, -1011, -1011, -1011, -1010, -1010,
    -1010, -1010, -1010, -1010, -1009, -1009, -1009, -1009, -1009, -1009,
    -1009, -1008, -1008, -1008, -1008, -1008, -1008, -1007, -1007, -1007,
    -1007, -1007, -1007, -1006, -1006, -1006, -1006, -1006, -1006, -1005,
    -1005, -1005, -1005, -1005, -1005, -1004, -1004, -1004, -1004, -1004,
    -1004, -1003, -1003, -1003, -1003, -1003, -1003, -1002, -1002, -1002,
    -1002, -1002, -1002, -1001, -1001, -1001, -1001, -1001, -1001, -1000,
    -1000, -1000, -1000, -1000, -1000, -1000, -999, -999, -999, -999,
    -999, -999, -998, -998, -998, -998, -998, -998, -997, -997,
    -997, -997, -997, -997, -996, -996, -996, -996, -996, -996,
    -995, -995, -995, -995, -995, -995, -994, -994, -994, -994,
    -994, -994, -993, -993, -993, -993, -993, -993, -992, -992,
    -992, -992, -992, -992, -991, -991, -991, -991, -991, -991,
    -990, -990, -990, -990, -990, -990, -989, -989, -989, -989,
    -989, -989, -988, -988, -988, -988, -988, -988, -987, -987,
    -987, -987, -987, -987, -986, -986, -986, -986, -986, -986,
    -985, -985, -985, -985, -985, -985, -984, -984, -984, -984,
    -984, -983, -983, -983, -983, -983, -983, -982, -982, -982,
    -982, -982, -982, -981, -981, -981, -981, -981, -981, -980,
    -980, -980, -980, -980, -980, -979, -979, -979, -979, -979,
    -979, -978, -978, -978, -978, -978, -978, -977, -977, -977,
    -977, -977, -977, -976, -976, -976, -976, -976, -976, -975,
    -975, -975, -975, -975, -974, -974, -974, -974, -974, -974,
    -973, -973, -973, -973, -973, -973, -972, -972, -972, -972,
    -972, -972, -971, -971, -971, -971, -971, -971, -970, -970,
    -970, -970, -970, -970, -969, -969, -969, -969, -969, -968,
    -968, -968, -968, -968, -968, -967, -967, -967, -967, -967,
    -967, -966, -966, -966, -966, -966, -966, -965, -965, -965,
    -965, -965, -964, -964, -964, -964, -964, -964, -963, -963,
    -963, -963, -963, -963, -962, -962, -962, -962, -962, -962,
    -961, -961, -961, -961, -961, -960, -960, -960, -960, -960,
    -960, -959, -959, -959, -959, -959, -959, -958, -958, -958,
    -958, -958, -958, -957, -957, -957, -957, -957, -956, -956,
    -956, -956, -956, -956, -955, -955, -955, -955, -955, -955,
    -954, -954, -954, -954, -954, -953, -953, -953, -953, -953,
    -953, -952, -952, -952, -952, -952, -952, -951, -951, -951,
    -951, -951, -950, -950, -950, -950, -950, -950, -949, -949,
    -949, -949, -949, -949, -948, -948, -948, -948, -948, -947,
    -947, -947, -947, -947, -947, -946, -946, -946, -946, -946,
    -946, -945, -945, -945, -945, -945, -944, -944, -944, -944,
    -944, -944, -943, -943, -943, -943, -943, -942, -942, -942,
    -942, -942, -942, -941, -941, -941, -941, -941, -941, -940,
    -940, -940, -940, -940, -939, -939, -939, -939, -939, -939,
    -938, -938, -938, -938, -938, -937, -937, -937, -937, -937,
    -937, -936, -936, -936, -936, -936, -935, -935, -935, -935,
    -935, -935, -934, -934, -934, -934, -934, -933, -933, -933,
    -933, -933, -933, -932, -932, -932, -932, -932, -931, -931,
    -931, -931, -931, -931, -930, -930, -930, -930, -930, -929,
    -929, -929, -929, -929, -929, -928, -928, -928, -928, -928,
    -927, -927, -927, -927, -927, -927, -926, -926, -926, -926,
    -926, -925, -925, -925, -925, -925, -925, -924, -924, -924,
    -924, -924, -923, -923, -923, -923, -923, -923, -922, -922,
    -922, -922, -922, -921, -921, -921, -921, -921, -921, -920,
    -920, -920, -920, -920, -919, -919, -919, -919, -919, -919,
    -918, -918, -918, -918, -918, -917, -917, -917, -917, -917,
    -916, -916, -916, -916, -916, -916, -915, -915, -915, -915,
    -915, -914, -914, -914, -914, -914, -914, -913, -913, -913,
    -913, -913, -912, -912, -912, -912, -912, -911, -911, -911,
    -911, -911, -911, -910, -910, -910, -910, -910, -909, -909,
    -909, -909, -909, -908, -908, -908, -908, -908, -908, -907,
    -907, -907, -907, -907, -906, -906, -906, -906, -906, -905,
    -905, -905, -905, -905, -905, -904, -904, -904, -904, -904,
    -903, -903, -903, -903, -903, -902, -902, -902, -902, -902,
    -902, -901, -901, -901, -901, -901, -900, -900, -900, -900,
    -900, -899, -899, -899, -899, -899, -898, -898, -898, -898,
    -898, -898, -897, -897, -897, -897, -897, -896, -896, -896,
    -896, -896, -895, -895, -895, -895, -895, -895, -894, -894,
    -894, -894, -894, -893, -893, -893, -893, -893, -892, -892,
    -892, -892, -892, -891, -891, -891, -891, -891, -890, -890,
    -890, -890, -890, -890, -889, -889, -889, -889, -889, -888,
    -888, -888, -888, -888, -887, -887, -887, -887, -887, -886,
    -886, -886, -886, -886, -886, -885, -885, -885, -885, -885,
    -884, -884, -884, -884, -884, -883, -883, -883, -883, -883,
    -882, -882, -882, -882, -882, -881, -881, -881, -881, -881,
    -880, -880, -880, -880, -880, -880, -879, -879, -879, -879,
    -879, -878, -878, -878, -878, -878, -877, -877, -877, -877,
    -877, -876, -876, -876, -876, -876, -875, -875, -875, -875,
    -875, -874, -874, -874, -874, -874, -873, -873, -873, -873,
    -873, -873, -872, -872, -872, -872, -872, -871, -871, -871,
    -871, -871, -870, -870, -870, -870, -870, -869, -869, -869,
    -869, -869, -868, -868, -868, -868, -868, -867, -867, -867,
    -867, -867, -866, -866, -866, -866, -866, -865, -865, -865,
    -865, -865, -864, -864, -864, -864, -864, -863, -863, -863,
    -863, -863, -862, -862, -862, -862, -862, -861, -861, -861,
    -861, -861, -860, -860, -860, -860, -860, -859, -859, -859,
    -859, -859, -859, -858, -858, -858, -858, -858, -857, -857,
    -857, -857, -857, -856, -856, -856, -856, -856, -855, -855,
    -855, -855, -855, -854, -854, -854, -854, -854, -853, -853,
    -853, -853, -853, -852, -852, -852, -852, -852, -851, -851,
    -851, -851, -851, -850, -850, -850, -850, -850, -849, -849,
    -849, -849, -849, -848, -848, -848, -848, -847, -847, -847,
    -847, -847, -846, -846, -846, -846, -846, -845, -845, -845,
    -845, -845, -844, -844, -844, -844, -844, -843, -843, -843,
    -843, -843, -842, -842, -842, -842, -842, -841, -841, -841,
    -841, -841, -840, -840, -840, -840, -840, -839, -839, -839,
    -839, -839, -838, -838, -838, -838, -838, -837, -837, -837,
    -837, -837, -836, -836, -836, -836, -836, -835, -835, -835,
    -835, -834, -834, -834, -834, -834, -833, -833, -833, -833,
    -833, -832, -832, -832, -832, -832, -831, -831, -831, -831,
    -831, -830, -830, -830, -830, -830, -829, -829, -829, -829,
    -829, -828, -828, -828, -828, -828, -827, -827, -827, -827,
    -826, -826, -826, -826, -826, -825, -825, -825, -825, -825,
    -824, -824, -824, -824, -824, -823, -823, -823, -823, -823,
    -822, -822, -822, -822, -822, -821, -821, -821, -821, -820,
    -820, -820, -820, -820, -819, -819, -819, -819, -819, -818,
    -818, -818, -818, -818, -817, -817, -817, -817, -817, -816,
    -816, -816, -816, -815, -815, -815, -815, -815, -814, -814,
    -814, -814, -814, -813, -813, -813, -813, -813, -812, -812,
    -812, -812, -811, -811, -811, -811, -811, -810, -810, -810,
    -810, -810, -809, -809, -809, -809, -809, -808, -808, -808,
    -808, -807, -807, -807, -807, -807, -806, -806, -806, -806,
    -806, -805, -805, -805, -805, -805, -804, -804, -804, -804,
    -803, -803, -803, -803, -803, -802, -802, -802, -802, -802,
    -801, -801, -801, -801, -801, -800, -800, -800, -800, -799,
    -799, -799, -799, -799, -798, -798, -798, -798, -798, -797,
    -797, -797, -797, -796, -796, -796, -796, -796, -795, -795,
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    -83, -83, -83, -82, -82, -82, -82, -81, -81, -81,
    -80, -80, -80, -79, -79, -79, -78, -78, -78, -77,
    -77, -77, -76, -76, -76, -75, -75, -75, -75, -74,
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    -64, -64, -64, -63, -63, -63, -62, -62, -62, -62,
    -61, -61, -61, -60, -60, -60, -59, -59, -59, -58,
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    -48, -48, -48, -48, -47, -47, -47, -46, -46, -46,
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    -39, -39, -38, -38, -38, -37, -37, -37, -36, -36,
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    -29, -29, -29, -28, -28, -28, -27, -27, -27, -27,
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    -17, -16, -16, -16, -15, -15, -15, -14, -14, -14,
    -13, -13, -13, -13, -12, -12, -12, -11, -11, -11,
    -10, -10, -10, -9, -9, -9, -8, -8, -8, -7,
    -7, -7, -6, -6, -6, -6, -5, -5, -5, -4,
    -4, -4, -3, -3, -3, -2, -2, -2, -1, -1,
    -1, 0, 0, 0, 0, 0, 0, 0, 1, 1,
    1, 2, 2, 2, 3, 3, 3, 4, 4, 4,
    5, 5, 5, 6, 6, 6, 7, 7, 7, 7,
    8, 8, 8, 9, 9, 9, 10, 10, 10, 11,
    11, 11, 12, 12, 12, 13, 13, 13, 14, 14,
    14, 14, 15, 15, 15, 16, 16, 16, 17, 17,
    17, 18, 18, 18, 19, 19, 19, 20, 20, 20,
    21, 21, 21, 21, 22, 22, 22, 23, 23, 23,
    24, 24, 24, 25, 25, 25, 26, 26, 26, 27,
    27, 27, 28, 28, 28, 28, 29, 29, 29, 30,
    30, 30, 31, 31, 31, 32, 32, 32, 33, 33,
    33, 34, 34, 34, 35, 35, 35, 35, 36, 36,
    36, 37, 37, 37, 38, 38, 38, 39, 39, 39,
    40, 40, 40, 41, 41, 41, 42, 42, 42, 42,
    43, 43, 43, 44, 44, 44, 45, 45, 45, 46,
    46, 46, 47, 47, 47, 48, 48, 48, 49, 49,
    49, 49, 50, 50, 50, 51, 51, 51, 52, 52,
    52, 53, 53, 53, 54, 54, 54, 55, 55, 55,
    56, 56, 56, 56, 57, 57, 57, 58, 58, 58,
    59, 59, 59, 60, 60, 60, 61, 61, 61, 62,
    62, 62, 63, 63, 63, 63, 64, 64, 64, 65,
    65, 65, 66, 66, 66, 67, 67, 67, 68, 68,
    68, 69, 69, 69, 69, 70, 70, 70, 71, 71,
    71, 72, 72, 72, 73, 73, 73, 74, 74, 74,
    75, 75, 75, 76, 76, 76, 76, 77, 77, 77,
    78, 78, 78, 79, 79, 79, 80, 80, 80, 81,
    81, 81, 82, 82, 82, 83, 83, 83, 83, 84,
    84, 84, 85, 85, 85, 86, 86, 86, 87, 87,
    87, 88, 88, 88, 89, 89, 89, 89, 90, 90,
    90, 91, 91, 91, 92, 92, 92, 93, 93, 93,
    94, 94, 94, 95, 95, 95, 95, 96, 96, 96,
    97, 97, 97, 98, 98, 98, 99, 99, 99, 100,
    100, 100, 101, 101, 101, 102, 102, 102, 102, 103,
    103, 103, 104, 104, 104, 105, 105, 105, 106, 106,
    106, 107, 107, 107, 108, 108, 108, 108, 109, 109,
    109, 110, 110, 110, 111, 111, 111, 112, 112, 112,
    113, 113, 113, 114, 114, 114, 114, 115, 115, 115,
    116, 116, 116, 117, 117, 117, 118, 118, 118, 119,
    119, 119, 120, 120, 120, 120, 121, 121, 121, 122,
    122, 122, 123, 123, 123, 124, 124, 124, 125, 125,
    125, 126, 126, 126, 126, 127, 127, 127, 128, 128,
    128, 129, 129, 129, 130, 130, 130, 131, 131, 131,
    132, 132, 132, 132, 133, 133, 133, 134, 134, 134,
    135, 135, 135, 136, 136, 136, 137, 137, 137, 137,
    138, 138, 138, 139, 139, 139, 140, 140, 140, 141,
    141, 141, 142, 142, 142, 143, 143, 143, 143, 144,
    144, 144, 145, 145, 145, 146, 146, 146, 147, 147,
    147, 148, 148, 148, 149, 149, 149, 149, 150, 150,
    150, 151, 151, 151, 152, 152, 152, 153, 153, 153,
    154, 154, 154, 154, 155, 155, 155, 156, 156, 156,
    157, 157, 157, 158, 158, 158, 159, 159, 159, 159,
    160, 160, 160, 161, 161, 161, 162, 162, 162, 163,
    163, 163, 164, 164, 164, 165, 165, 165, 165, 166,
    166, 166, 167, 167, 167, 168, 168, 168, 169, 169,
    169, 170, 170, 170, 170, 171, 171, 171, 172, 172,
    172, 173, 173, 173, 174, 174, 174, 175, 175, 175,
    175, 176, 176, 176, 177, 177, 177, 178, 178, 178,
    179, 179, 179, 180, 180, 180, 180, 181, 181, 181,
    182, 182, 182, 183, 183, 183, 184, 184, 184, 185,
    185, 185, 185, 186, 186, 186, 187, 187, 187, 188,
    188, 188, 189, 189, 189, 190, 190, 190, 190, 191,
    191, 191, 192, 192, 192, 193, 193, 193, 194, 194,
    194, 194, 195, 195, 195, 196, 196, 196, 197, 197,
    197, 198, 198, 198, 199, 199, 199, 199, 200, 200,
    200, 201, 201, 201, 202, 202, 202, 203, 203, 203,
    204, 204, 204, 204, 205, 205, 205, 206, 206, 206,
    207, 207, 207, 208, 208, 208, 208, 209, 209, 209,
    210, 210, 210, 211, 211, 211, 212, 212, 212, 213,
    213, 213, 213, 214, 214, 214, 215, 215, 215, 216,
    216, 216, 217, 217, 217, 217, 218, 218, 218, 219,
    219, 219, 220, 220, 220, 221, 221, 221, 221, 222,
    222, 222, 223, 223, 223, 224, 224, 224, 225, 225,
    225, 226, 226, 226, 226, 227, 227, 227, 228, 228,
    228, 229, 229, 229, 230, 230, 230, 230, 231, 231,
    231, 232, 232, 232, 233, 233, 233, 234, 234, 234,
    234, 235, 235, 235, 236, 236, 236, 237, 237, 237,
    238, 238, 238, 238, 239, 239, 239, 240, 240, 240,
    241, 241, 241, 242, 242, 242, 242, 243, 243, 243,
    244, 244, 244, 245, 245, 245, 246, 246, 246, 246,
    247, 247, 247, 248, 248, 248, 249, 249, 249, 250,
    250, 250, 250, 251, 251, 251, 252, 252, 252, 253,
    253, 253, 254, 254, 254, 254, 255, 255, 255, 256,
    256, 256, 257, 257, 257, 257, 258, 258, 258, 259,
    259, 259, 260, 260, 260, 261, 261, 261, 261, 262,
    262, 262, 263, 263, 263, 264, 264, 264, 265, 265,
    265, 265, 266, 266, 266, 267, 267, 267, 268, 268,
    268, 268, 269, 269, 269, 270, 270, 270, 271, 271,
    271, 272, 272, 272, 272, 273, 273, 273, 274, 274,
    274, 275, 275, 275, 275, 276, 276, 276, 277, 277,
    277, 278, 278, 278, 279, 279, 279, 279, 280, 280,
    280, 281, 281, 281, 282, 282, 282, 282, 283, 283,
    283, 284, 284, 284, 285, 285, 285, 286, 286, 286,
    286, 287, 287, 287, 288, 288, 288, 289, 289, 289,
    289, 290, 290, 290, 291, 291, 291, 292, 292, 292,
    292, 293, 293, 293, 294, 294, 294, 295, 295, 295,
    296, 296, 296, 296, 297, 297, 297, 298, 298, 298,
    299, 299, 299, 299, 300, 300, 300, 301, 301, 301,
    302, 302, 302, 302, 303, 303, 303, 304, 304, 304,
    305, 305, 305, 305, 306, 306, 306, 307, 307, 307,
    308, 308, 308, 308, 309, 309, 309, 310, 310, 310,
    311, 311, 311, 311, 312, 312, 312, 313, 313, 313,
    314, 314, 314, 314, 315, 315, 315, 316, 316, 316,
    317, 317, 317, 317, 318, 318, 318, 319, 319, 319,
    320, 320, 320, 320, 321, 321, 321, 322, 322, 322,
    323, 323, 323, 323, 324, 324, 324, 325, 325, 325,
    326, 326, 326, 326, 327, 327, 327, 328, 328, 328,
    329, 329, 329, 329, 330, 330, 330, 331, 331, 331,
    332, 332, 332, 332, 333, 333, 333, 334, 334, 334,
    335, 335, 335, 335, 336, 336, 336, 337, 337, 337,
    338, 338, 338, 338, 339, 339, 339, 340, 340, 340,
    340, 341, 341, 341, 342, 342, 342, 343, 343, 343,
    343, 344, 344, 344, 345, 345, 345, 346, 346, 346,
    346, 347, 347, 347, 348, 348, 348, 348, 349, 349,
    349, 350, 350, 350, 351, 351, 351, 351, 352, 352,
    352, 353, 353, 353, 354, 354, 354, 354, 355, 355,
    355, 356, 356, 356, 356, 357, 357, 357, 358, 358,
    358, 359, 359, 359, 359, 360, 360, 360, 361, 361,
    361, 361, 362, 362, 362, 363, 363, 363, 364, 364,
    364, 364, 365, 365, 365, 366, 366, 366, 366, 367,
    367, 367, 368, 368, 368, 369, 369, 369, 369, 370,
    370, 370, 371, 371, 371, 371, 372, 372, 372, 373,
    373, 373, 374, 374, 374, 374, 375, 375, 375, 376,
    376, 376, 376, 377, 377, 377, 378, 378, 378, 378,
    379, 379, 379, 380, 380, 380, 381, 381, 381, 381,
    382, 382, 382, 383, 383, 383, 383, 384, 384, 384,
    385, 385, 385, 385, 386, 386, 386, 387, 387, 387,
    388, 388, 388, 388, 389, 389, 389, 390, 390, 390,
    390, 391, 391, 391, 392, 392, 392, 392, 393, 393,
    393, 394, 394, 394, 395, 395, 395, 395, 396, 396,
    396, 397, 397, 397, 397, 398, 398, 398, 399, 399,
    399, 399, 400, 400, 400, 401, 401, 401, 401, 402,
    402, 402, 403, 403, 403, 403, 404, 404, 404, 405,
    405, 405, 406, 406, 406, 406, 407, 407, 407, 408,
    408, 408, 408, 409, 409, 409, 410, 410, 410, 410,
    411, 411, 411, 412, 412, 412, 412, 413, 413, 413,
    414, 414, 414, 414, 415, 415, 415, 416, 416, 416,
    416, 417, 417, 417, 418, 418, 418, 418, 419, 419,
    419, 420, 420, 420, 420, 421, 421, 421, 422, 422,
    422, 422, 423, 423, 423, 424, 424, 424, 424, 425,
    425, 425, 426, 426, 426, 426, 427, 427, 427, 428,
    428, 428, 428, 429, 429, 429, 430, 430, 430, 430,
    431, 431, 431, 432, 432, 432, 432, 433, 433, 433,
    434, 434, 434, 434, 435, 435, 435, 436, 436, 436,
    436, 437, 437, 437, 438, 438, 438, 438, 439, 439,
    439, 440, 440, 440, 440, 441, 441, 441, 442, 442,
    442, 442, 443, 443, 443, 444, 444, 444, 444, 445,
    445, 445, 445, 446, 446, 446, 447, 447, 447, 447,
    448, 448, 448, 449, 449, 449, 449, 450, 450, 450,
    451, 451, 451, 451, 452, 452, 452, 453, 453, 453,
    453, 454, 454, 454, 455, 455, 455, 455, 456, 456,
    456, 456, 457, 457, 457, 458, 458, 458, 458, 459,
    459, 459, 460, 460, 460, 460, 461, 461, 461, 462,
    462, 462, 462, 463, 463, 463, 463, 464, 464, 464,
    465, 465, 465, 465, 466, 466, 466, 467, 467, 467,
    467, 468, 468, 468, 469, 469, 469, 469, 470, 470,
    470, 470, 471, 471, 471, 472, 472, 472, 472, 473,
    473, 473, 474, 474, 474, 474, 475, 475, 475, 475,
    476, 476, 476, 477, 477, 477, 477, 478, 478, 478,
    479, 479, 479, 479, 480, 480, 480, 480, 481, 481,
    481, 482, 482, 482, 482, 483, 483, 483, 484, 484,
    484, 484, 485, 485, 485, 485, 486, 486, 486, 487,
    487, 487, 487, 488, 488, 488, 488, 489, 489, 489,
    490, 490, 490, 490, 491, 491, 491, 492, 492, 492,
    492, 493, 493, 493, 493, 494, 494, 494, 495, 495,
    495, 495, 496, 496, 496, 496, 497, 497, 497, 498,
    498, 498, 498, 499, 499, 499, 499, 500, 500, 500,
    501, 501, 501, 501, 502, 502, 502, 502, 503, 503,
    503, 504, 504, 504, 504, 505, 505, 505, 505, 506,
    506, 506, 507, 507, 507, 507, 508, 508, 508, 508,
    509, 509, 509, 510, 510, 510, 510, 511, 511, 511,
    511, 512, 512, 512, 513, 513, 513, 513, 514, 514,
    514, 514, 515, 515, 515, 516, 516, 516, 516, 517,
    517, 517, 517, 518, 518, 518, 519, 519, 519, 519,
    520, 520, 520, 520, 521, 521, 521, 522, 522, 522,
    522, 523, 523, 523, 523, 524, 524, 524, 524, 525,
    525, 525, 526, 526, 526, 526, 527, 527, 527, 527,
    528, 528, 528, 529, 529, 529, 529, 530, 530, 530,
    530, 531, 531, 531, 531, 532, 532, 532, 533, 533,
    533, 533, 534, 534, 534, 534, 535, 535, 535, 535,
    536, 536, 536, 537, 537, 537, 537, 538, 538, 538,
    538, 539, 539, 539, 539, 540, 540, 540, 541, 541,
    541, 541, 542, 542, 542, 542, 543, 543, 543, 543,
    544, 544, 544, 545, 545, 545, 545, 546, 546, 546,
    546, 547, 547, 547, 547, 548, 548, 548, 549, 549,
    549, 549, 550, 550, 550, 550, 551, 551, 551, 551,
    552, 552, 552, 553, 553, 553, 553, 554, 554, 554,
    554, 555, 555, 555, 555, 556, 556, 556, 556, 557,
    557, 557, 558, 558, 558, 558, 559, 559, 559, 559,
    560, 560, 560, 560, 561, 561, 561, 561, 562, 562,
    562, 563, 563, 563, 563, 564, 564, 564, 564, 565,
    565, 565, 565, 566, 566, 566, 566, 567, 567, 567,
    568, 568, 568, 568, 569, 569, 569, 569, 570, 570,
    570, 570, 571, 571, 571, 571, 572, 572, 572, 572,
    573, 573, 573, 574, 574, 574, 574, 575, 575, 575,
    575, 576, 576, 576, 576, 577, 577, 577, 577, 578,
    578, 578, 578, 579, 579, 579, 580, 580, 580, 580,
    581, 581, 581, 581, 582, 582, 582, 582, 583, 583,
    583, 583, 584, 584, 584, 584, 585, 585, 585, 585,
    586, 586, 586, 586, 587, 587, 587, 588, 588, 588,
    588, 589, 589, 589, 589, 590, 590, 590, 590, 591,
    591, 591, 591, 592, 592, 592, 592, 593, 593, 593,
    593, 594, 594, 594, 594, 595, 595, 595, 595, 596,
    596, 596, 597, 597, 597, 597, 598, 598, 598, 598,
    599, 599, 599, 599, 600, 600, 600, 600, 601, 601,
    601, 601, 602, 602, 602, 602, 603, 603, 603, 603,
    604, 604, 604, 604, 605, 605, 605, 605, 606, 606,
    606, 606, 607, 607, 607, 607, 608, 608, 608, 609,
    609, 609, 609, 610, 610, 610, 610, 611, 611, 611,
    611, 612, 612, 612, 612, 613, 613, 613, 613, 614,
    614, 614, 614, 615, 615, 615, 615, 616, 616, 616,
    616, 617, 617, 617, 617, 618, 618, 618, 618, 619,
    619, 619, 619, 620, 620, 620, 620, 621, 621, 621,
    621, 622, 622, 622, 622, 623, 623, 623, 623, 624,
    624, 624, 624, 625, 625, 625, 625, 626, 626, 626,
    626, 627, 627, 627, 627, 628, 628, 628, 628, 629,
    629, 629, 629, 630, 630, 630, 630, 631, 631, 631,
    631, 632, 632, 632, 632, 633, 633, 633, 633, 634,
    634, 634, 634, 635, 635, 635, 635, 636, 636, 636,
    636, 637, 637, 637, 637, 638, 638, 638, 638, 639,
    639, 639, 639, 640, 640, 640, 640, 641, 641, 641,
    641, 642, 642, 642, 642, 643, 643, 643, 643, 644,
    644, 644, 644, 645, 645, 645, 645, 646, 646, 646,
    646, 647, 647, 647, 647, 648, 648, 648, 648, 648,
    649, 649, 649, 649, 650, 650, 650, 650, 651, 651,
    651, 651, 652, 652, 652, 652, 653, 653, 653, 653,
    654, 654, 654, 654, 655, 655, 655, 655, 656, 656,
    656, 656, 657, 657, 657, 657, 658, 658, 658, 658,
    659, 659, 659, 659, 660, 660, 660, 660, 660, 661,
    661, 661, 661, 662, 662, 662, 662, 663, 663, 663,
    663, 664, 664, 664, 664, 665, 665, 665, 665, 666,
    666, 666, 666, 667, 667, 667, 667, 668, 668, 668,
    668, 668, 669, 669, 669, 669, 670, 670, 670, 670,
    671, 671, 671, 671, 672, 672, 672, 672, 673, 673,
    673, 673, 674, 674, 674, 674, 675, 675, 675, 675,
    675, 676, 676, 676, 676, 677, 677, 677, 677, 678,
    678, 678, 678, 679, 679, 679, 679, 680, 680, 680,
    680, 681, 681, 681, 681, 681, 682, 682, 682, 682,
    683, 683, 683, 683, 684, 684, 684, 684, 685, 685,
    685, 685, 686, 686, 686, 686, 686, 687, 687, 687,
    687, 688, 688, 688, 688, 689, 689, 689, 689, 690,
    690, 690, 690, 691, 691, 691, 691, 691, 692, 692,
    692, 692, 693, 693, 693, 693, 694, 694, 694, 694,
    695, 695, 695, 695, 695, 696, 696, 696, 696, 697,
    697, 697, 697, 698, 698, 698, 698, 699, 699, 699,
    699, 699, 700, 700, 700, 700, 701, 701, 701, 701,
    702, 702, 702, 702, 703, 703, 703, 703, 703, 704,
    704, 704, 704, 705, 705, 705, 705, 706, 706, 706,
    706, 707, 707, 707, 707, 707, 708, 708, 708, 708,
    709, 709, 709, 709, 710, 710, 710, 710, 710, 711,
    711, 711, 711, 712, 712, 712, 712, 713, 713, 713,
    713, 714, 714, 714, 714, 714, 715, 715, 715, 715,
    716, 716, 716, 716, 717, 717, 717, 717, 717, 718,
    718, 718, 718, 719, 719, 719, 719, 720, 720, 720,
    720, 720, 721, 721, 721, 721, 722, 722, 722, 722,
    723, 723, 723, 723, 723, 724, 724, 724, 724, 725,
    725, 725, 725, 726, 726, 726, 726, 726, 727, 727,
    727, 727, 728, 728, 728, 728, 728, 729, 729, 729,
    729, 730, 730, 730, 730, 731, 731, 731, 731, 731,
    732, 732, 732, 732, 733, 733, 733, 733, 734, 734,
    734, 734, 734, 735, 735, 735, 735, 736, 736, 736,
    736, 736, 737, 737, 737, 737, 738, 738, 738, 738,
    739, 739, 739, 739, 739, 740, 740, 740, 740, 741,
    741, 741, 741, 741, 742, 742, 742, 742, 743, 743,
    743, 743, 743, 744, 744, 744, 744, 745, 745, 745,
    745, 746, 746, 746, 746, 746, 747, 747, 747, 747,
    748, 748, 748, 748, 748, 749, 749, 749, 749, 750,
    750, 750, 750, 750, 751, 751, 751, 751, 752, 752,
    752, 752, 752, 753, 753, 753, 753, 754, 754, 754,
    754, 754, 755, 755, 755, 755, 756, 756, 756, 756,
    756, 757, 757, 757, 757, 758, 758, 758, 758, 758,
    759, 759, 759, 759, 760, 760, 760, 760, 760, 761,
    761, 761, 761, 762, 762, 762, 762, 762, 763, 763,
    763, 763, 764, 764, 764, 764, 764, 765, 765, 765,
    765, 766, 766, 766, 766, 766, 767, 767, 767, 767,
    768, 768, 768, 768, 768, 769, 769, 769, 769, 770,
    770, 770, 770, 770, 771, 771, 771, 771, 772, 772,
    772, 772, 772, 773, 773, 773, 773, 773, 774, 774,
    774, 774, 775, 775, 775, 775, 775, 776, 776, 776,
    776, 777, 777, 777, 777, 777, 778, 778, 778, 778,
    779, 779, 779, 779, 779, 780, 780, 780, 780, 780,
    781, 781, 781, 781, 782, 782, 782, 782, 782, 783,
    783, 783, 783, 783, 784, 784, 784, 784, 785, 785,
    785, 785, 785, 786, 786, 786, 786, 787, 787, 787,
    787, 787, 788, 788, 788, 788, 788, 789, 789, 789,
    789, 790, 790, 790, 790, 790, 791, 791, 791, 791,
    791, 792, 792, 792, 792, 793, 793, 793, 793, 793,
    794, 794, 794, 794, 794, 795, 795, 795, 795, 796,
    796, 796, 796, 796, 797, 797, 797, 797, 797, 798,
    798, 798, 798, 799, 799, 799, 799, 799, 800, 800,
    800, 800, 800, 801, 801, 801, 801, 802, 802, 802,
    802, 802, 803, 803, 803, 803, 803, 804, 804, 804,
    804, 804, 805, 805, 805, 805, 806, 806, 806, 806,
    806, 807, 807, 807, 807, 807, 808, 808, 808, 808,
    808, 809, 809, 809, 809, 810, 810, 810, 810, 810,
    811, 811, 811, 811, 811, 812, 812, 812, 812, 812,
    813, 813, 813, 813, 814, 814, 814, 814, 814, 815,
    815, 815, 815, 815, 816, 816, 816, 816, 816, 817,
    817, 817, 817, 818, 818, 818, 818, 818, 819, 819,
    819, 819, 819, 820, 820, 820, 820, 820, 821, 821,
    821, 821, 821, 822, 822, 822, 822, 823, 823, 823,
    823, 823, 824, 824, 824, 824, 824, 825, 825, 825,
    825, 825, 826, 826, 826, 826, 826, 827, 827, 827,
    827, 827, 828, 828, 828, 828, 829, 829, 829, 829,
    829, 830, 830, 830, 830, 830, 831, 831, 831, 831,
    831, 832, 832, 832, 832, 832, 833, 833, 833, 833,
    833, 834, 834, 834, 834, 834, 835, 835, 835, 835,
    835, 836, 836, 836, 836, 837, 837, 837, 837, 837,
    838, 838, 838, 838, 838, 839, 839, 839, 839, 839,
    840, 840, 840, 840, 840, 841, 841, 841, 841, 841,
    842, 842, 842, 842, 842, 843, 843, 843, 843, 843,
    844, 844, 844, 844, 844, 845, 845, 845, 845, 845,
    846, 846, 846, 846, 846, 847, 847, 847, 847, 847,
    848, 848, 848, 848, 848, 849, 849, 849, 849, 850,
    850, 850, 850, 850, 851, 851, 851, 851, 851, 852,
    852, 852, 852, 852, 853, 853, 853, 853, 853, 854,
    854, 854, 854, 854, 855, 855, 855, 855, 855, 856,
    856, 856, 856, 856, 857, 857, 857, 857, 857, 858,
    858, 858, 858, 858, 859, 859, 859, 859, 859, 860,
    860, 860, 860, 860, 860, 861, 861, 861, 861, 861,
    862, 862, 862, 862, 862, 863, 863, 863, 863, 863,
    864, 864, 864, 864, 864, 865, 865, 865, 865, 865,
    866, 866, 866, 866, 866, 867, 867, 867, 867, 867,
    868, 868, 868, 868, 868, 869, 869, 869, 869, 869,
    870, 870, 870, 870, 870, 871, 871, 871, 871, 871,
    872, 872, 872, 872, 872, 873, 873, 873, 873, 873,
    874, 874, 874, 874, 874, 874, 875, 875, 875, 875,
    875, 876, 876, 876, 876, 876, 877, 877, 877, 877,
    877, 878, 878, 878, 878, 878, 879, 879, 879, 879,
    879, 880, 880, 880, 880, 880, 881, 881, 881, 881,
    881, 881, 882, 882, 882, 882, 882, 883, 883, 883,
    883, 883, 884, 884, 884, 884, 884, 885, 885, 885,
    885, 885, 886, 886, 886, 886, 886, 887, 887, 887,
    887, 887, 887, 888, 888, 888, 888, 888, 889, 889,
    889, 889, 889, 890, 890, 890, 890, 890, 891, 891,
    891, 891, 891, 891, 892, 892, 892, 892, 892, 893,
    893, 893, 893, 893, 894, 894, 894, 894, 894, 895,
    895, 895, 895, 895, 896, 896, 896, 896, 896, 896,
    897, 897, 897, 897, 897, 898, 898, 898, 898, 898,
    899, 899, 899, 899, 899, 899, 900, 900, 900, 900,
    900, 901, 901, 901, 901, 901, 902, 902, 902, 902,
    902, 903, 903, 903, 903, 903, 903, 904, 904, 904,
    904, 904, 905, 905, 905, 905, 905, 906, 906, 906,
    906, 906, 906, 907, 907, 907, 907, 907, 908, 908,
    908, 908, 908, 909, 909, 909, 909, 909, 909, 910,
    910, 910, 910, 910, 911, 911, 911, 911, 911, 912,
    912, 912, 912, 912, 912, 913, 913, 913, 913, 913,
    914, 914, 914, 914, 914, 915, 915, 915, 915, 915,
    915, 916, 916, 916, 916, 916, 917, 917, 917, 917,
    917, 917, 918, 918, 918, 918, 918, 919, 919, 919,
    919, 919, 920, 920, 920, 920, 920, 920, 921, 921,
    921, 921, 921, 922, 922, 922, 922, 922, 922, 923,
    923, 923, 923, 923, 924, 924, 924, 924, 924, 924,
    925, 925, 925, 925, 925, 926, 926, 926, 926, 926,
    926, 927, 927, 927, 927, 927, 928, 928, 928, 928,
    928, 928, 929, 929, 929, 929, 929, 930, 930, 930,
    930, 930, 930, 931, 931, 931, 931, 931, 932, 932,
    932, 932, 932, 932, 933, 933, 933, 933, 933, 934,
    934, 934, 934, 934, 934, 935, 935, 935, 935, 935,
    936, 936, 936, 936, 936, 936, 937, 937, 937, 937,
    937, 938, 938, 938, 938, 938, 938, 939, 939, 939,
    939, 939, 940, 940, 940, 940, 940, 940, 941, 941,
    941, 941, 941, 942, 942, 942, 942, 942, 942, 943,
    943, 943, 943, 943, 943, 944, 944, 944, 944, 944,
    945, 945, 945, 945, 945, 945, 946, 946, 946, 946,
    946, 947, 947, 947, 947, 947, 947, 948, 948, 948,
    948, 948, 948, 949, 949, 949, 949, 949, 950, 950,
    950, 950, 950, 950, 951, 951, 951, 951, 951, 951,
    952, 952, 952, 952, 952, 953, 953, 953, 953, 953,
    953, 954, 954, 954, 954, 954, 954, 955, 955, 955,
    955, 955, 956, 956, 956, 956, 956, 956, 957, 957,
    957, 957, 957, 957, 958, 958, 958, 958, 958, 959,
    959, 959, 959, 959, 959, 960, 960, 960, 960, 960,
    960, 961, 961, 961, 961, 961, 961, 962, 962, 962,
    962, 962, 963, 963, 963, 963, 963, 963, 964, 964,
    964, 964, 964, 964, 965, 965, 965, 965, 965, 965,
    966, 966, 966, 966, 966, 967, 967, 967, 967, 967,
    967, 968, 968, 968, 968, 968, 968, 969, 969, 969,
    969, 969, 969, 970, 970, 970, 970, 970, 971, 971,
    971, 971, 971, 971, 972, 972, 972, 972, 972, 972,
    973, 973, 973, 973, 973, 973, 974, 974, 974, 974,
    974, 974, 975, 975, 975, 975, 975, 975, 976, 976,
    976, 976, 976, 977, 977, 977, 977, 977, 977, 978,
    978, 978, 978, 978, 978, 979, 979, 979, 979, 979,
    979, 980, 980, 980, 980, 980, 980, 981, 981, 981,
    981, 981, 981, 982, 982, 982, 982, 982, 982, 983,
    983, 983, 983, 983, 983, 984, 984, 984, 984, 984,
    984, 985, 985, 985, 985, 985, 986, 986, 986, 986,
    986, 986, 987, 987, 987, 987, 987, 987, 988, 988,
    988, 988, 988, 988, 989, 989, 989, 989, 989, 989,
    990, 990, 990, 990, 990, 990, 991, 991, 991, 991,
    991, 991, 992, 992, 992, 992, 992, 992, 993, 993,
    993, 993, 993, 993, 994, 994, 994, 994, 994, 994,
    995, 995, 995, 995, 995, 995, 996, 996, 996, 996,
    996, 996, 997, 997, 997, 997, 997, 997, 998, 998,
    998, 998, 998, 998, 999, 999, 999, 999, 999, 999,
    1000, 1000, 1000, 1000, 1000, 1000, 1001, 1001, 1001, 1001,
    1001, 1001, 1001, 1002, 1002, 1002, 1002, 1002, 1002, 1003,
    1003, 1003, 1003, 1003, 1003, 1004, 1004, 1004, 1004, 1004,
    1004, 1005, 1005, 1005, 1005, 1005, 1005, 1006, 1006, 1006,
    1006, 1006, 1006, 1007, 1007, 1007, 1007, 1007, 1007, 1008,
    1008, 1008, 1008, 1008, 1008, 1009, 1009, 1009, 1009, 1009,
    1009, 1010, 1010, 1010, 1010, 1010, 1010, 1010, 1011, 1011,
    1011, 1011, 1011, 1011, 1012, 1012, 1012, 1012, 1012, 1012,
    1013, 1013, 1013, 1013, 1013, 1013, 1014, 1014, 1014, 1014,
    1014, 1014, 1015, 1015, 1015, 1015, 1015, 1015, 1016, 1016,
    1016, 1016, 1016, 1016, 1016, 1017, 1017, 1017, 1017, 1017,
    1017, 1018, 1018, 1018, 1018, 1018, 1018, 1019, 1019, 1019,
    1019, 1019, 1019, 1020, 1020, 1020, 1020, 1020, 1020, 1020,
    1021, 1021, 1021, 1021, 1021, 1021, 1022, 1022, 1022, 1022,
    1022, 1022, 1023, 1023, 1023, 1023, 1023, 1023, 1024, 1024,
    1024, 1024,
}; // END of _fastangle_atan_table_13[8192]

#define ETL_FASTANGLE_LOOKUP_RES	(13)
#define _fastangle_sin_table		_fastangle_sin_table_13
#define _fastangle_asin_table		_fastangle_asin_table_13
#define _fastangle_tan_table		_fastangle_tan_table_13
#define _fastangle_atan_table		_fastangle_atan_table_13

#endif // END of __ETL_FASTANGLE_TABLES__